2026-05-12T06:36:00Z http://www.ntmsci.com/cmma/ajaxtool/oai

oai:ntmsci.com/cmma/ajaxtool/oai:article/5107 2016-01-03T22:00:00Z 1

Bifurcation theory of flexible exchange rates in the new Keynesian model: An application Mustafa Bayram and Anil Burcu Ozyurt Serim Bifurcation, Hopf bifurcation, new-Keynesian macroeconometrics, stability Formerly, the fixed exchange rate was identified as the main policy in economy, but in time it has been proved that the applicability of this policy in economy is not possible. With the new Keynesian approach, this situation has led to the formation and development of new monetary policies. The Keynesian model monetary policy in this article has been based on the flexible exchange rate. By applying the bifurcation theory on monetary policy parameters the interrelations among the inflation target value, the output gap and the equilibrium real interest rate were examined. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-01-03T22:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5107 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5107 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=5107

oai:ntmsci.com/cmma/ajaxtool/oai:article/6117 2016-01-31T22:00:00Z 1

Characterizations of dual spacelike curves of constant breadth in dual Lorentzian space Huseyin Kocayigit, Muhammed Cetin and Beyza Betul Pekacar Dual Lorentzian space, dual Frenet frame, dual curve of constant breadth In this paper, we study dual curves of constant breadth in dual Lorentzian space D. We obtain the differential equations characterizing dual curves of constant breadth in D and we introduce some special cases for these dual curves. Furthermore, we obtain that the total torsion of a closed dual spacelike curve of constant breadth is zero while the total torsion of a simple closed dual timelike curve is equal to 2npi, (n in Z). Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-01-31T22:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=6117 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=6117 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=6117

oai:ntmsci.com/cmma/ajaxtool/oai:article/7151 2016-04-28T21:00:00Z 1

The influences of mathematics beliefs on mathematics achievement through mathematics self-efficacy: A structural equation model Hajar Kamalimoghaddam, Rohani Ahmad Tarmizi, Ahmad Fauzi Mohd Ayub and Wan Marzuki Wan Jaafar Mathematics self-efficacy, mathematics beliefs, structural equation model, measurement model, mathematics achievement The purpose of present study was to examine the direct and indirect effects of mathematics beliefs on mathematics achievement. Specially, regarding to powerful predictor and mediator of mathematics self-efficacy. The subjects of the study were middle school students of the academic year 2013. 400 of 8th graders were selected from four public schools of Shiraz in Iran to estimate and test the hypothesized effects of mathematics beliefs on mathematics self-efficacy and mathematics achievement. A two stage Cluster Random Sampling Method was utilized. This study examined correlations between latent variables and their factors also determined coefficients between latent variables by using Measurement Model. Then the estimate of Structural Equation Model revealed that mathematics beliefs had a direct and an indirect effect on mathematics achievement. The model specified mathematics beliefs and mathematics achievement. The high goodness-of-fit indices, also acknowledged that postulated model has a good fit to the data. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-04-28T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7151 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7151 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7151

oai:ntmsci.com/cmma/ajaxtool/oai:article/7152 2016-04-28T21:00:00Z 1

Some characterizations of constant breadth timelike curves in Minkowski 4-space E₁⁴ Huseyin Kocayigit and Zennure Cicek Constant breadth curve, timelike curve, Frenet frame. In this study, the differential equation characterizations of constant breadth timelike curves are given in the Minkowski 4-space E04. Furthermore, a criterion for a timelike curve to be a curve of constant breadth in E04 is introduced. As an example, the obtained results are applied to the case that the curvatures k1, k2, k3 are constants and are discussed. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-04-28T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7152 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7152 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7152

oai:ntmsci.com/cmma/ajaxtool/oai:article/7136 2016-04-16T21:00:00Z 1

Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space Yasin Unluturk, Muradiye Cimdiker and and Cumali Ekici Parallel ruled surface, Darboux frame, developability, Steiner rotation vector, pitch length, pitch angle In this paper, the parallel ruled surfaces with Darboux frame are introduced in Euclidean 3-space. Then some characteristic properties such as developability, striction point and distribution parameter of the parallel ruled surfaces with Darboux frame are given in Euclidean 3-space. Then we obtain Steiner rotation vector of this kind of surfaces Euclidean 3-space. By using this rotation vector, we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-04-16T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7136 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7136 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7136

oai:ntmsci.com/cmma/ajaxtool/oai:article/7161 2016-06-13T21:00:00Z 1

Characterizations of Spacelike Curves according to Bishop Darboux Vector in Minkowski 3-Space E₁³ Huseyin Kocayigit, Bahattin Bukcu and Ilker Pektas Bishop frame, Darboux vector, Minkowski 3-Space, Laplacian operator In this paper, we obtained some characterizations of spacelike curves according to Bishop frame in Minkowski 3-space E0³ by using Laplacian operator and Levi-Civita connection. Furthermore we gave the general differential equations which characterize the spacelike curves according to the Bishop Darboux vector and the normal Bishop Darboux vector. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-06-13T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7161 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7161 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7161

oai:ntmsci.com/cmma/ajaxtool/oai:article/8216 2016-11-17T21:00:00Z 1

Related Dynkin games for doubly reflected BSDEs under weak assumptions Imen hassairi Doubly reflected backward SDEs, Dynkin game, Mokobodzki's condition, local solution. We take the results of existence and uniqueness of the solution for doubly reflected backward stochastic differential equations (BSDEs in short) proved recently by Hassairi, we study its connection with Dynkin games problem under very weak assumptions. We show in the present paper that this differential game have a value function and a saddle point. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-11-17T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8216 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8216 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8216

oai:ntmsci.com/cmma/ajaxtool/oai:article/7199 2016-10-08T21:00:00Z 1

Finding minimal Ferrers-esque graphs on path graphs ans cycle graphs via set cover Selcuk Topal Graph algorithms, factorization, matching, partitioning, covering and packing, paths and cycles This paper presents minimal construction techniques of a new graph class called Ferrer-esque comes from Ferrers relation \cite{Ferrer} on path and cycle graphs by using set cover method. The minimal constructions provide to obtain a Ferrer-esque graph by adding minimum number of edges to paths and cycles. We also state some open problems about Ferrer-Esque graphs to the readers. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-10-08T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7199 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7199 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7199

oai:ntmsci.com/cmma/ajaxtool/oai:article/8237 2017-01-06T21:00:00Z 1

Hybrid genetic algorithm to federal government capital budgetting D. Hakimi, D. O. Oyewola , K.R.Adeboye, R.O.Olayiwola Capital budgeting, Knapsack problem, capital projects, Genetic Algorithms, Population, Survival of the fittest. Multidimensional Knapsack problem is a NP-hard problem. The problem has been studied extensively in the literature. In this paper we provides a solution to a capital budgeting problem of Federal Government Budget in Nigeria using Hybrid Genetic Algorithms proposed by [32].We use also used the approach of [33] to model federal government budget by dividing the capital project into four groups which includes : The Economic sector (x1) , The Social Service sector (x2 ) , The Environmental/Regional Development sector (x3), and The Administration sector ( x4). Using MATLAB software for the analysis, it was observed that the optimal solution was optimal solution value is 277.64 billion naira. The result shows that the first and the second sector will be selected (x1,x2 = 1; x3 , x4=0). Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-01-06T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8237 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8237 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8237

oai:ntmsci.com/cmma/ajaxtool/oai:article/8217 2016-11-17T21:00:00Z 1

An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method Khalid Ali, Kamal Raslan, Talaat S. EL-Danaf Collocation method, cubic trigonometric B-splines method, coupled-BBM system. In the present paper, a numerical method is proposed for the numerical solution of a coupled-BBM system with appropriate initial and boundary conditions by using collocation method with cubic trigonometric B-spline on the uniform mesh points. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms2L, ?L are computed. Furthermore, interaction of two and three solitary waves are used to discuss the effect of the behavior of the solitary waves after the interaction. These results show that the technique introduced here is easy to apply. We make linearization for the nonlinear term. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-11-17T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8217 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8217 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8217

oai:ntmsci.com/cmma/ajaxtool/oai:article/8218 2016-11-17T21:00:00Z 1

Application of intuitionistic fuzzy soft sets in decision making based on real life problems Anjan Mukherjee, Sadhan Sarkar, Somen Debnath Fuzzy sets, soft sets, Fuzzy soft sets, intuitionistic fuzzy soft sets, intuitionistic fuzzy aggregation. In 1999, Molodtsov introduced soft set theory which is a new mathematical tool for dealing with uncertainties and is free from the difficulties affecting the existing methods. Research works on soft set theory are progressing rapidly. Combining soft sets with fuzzy sets and intuitionistic fuzzy sets, Maji et al. , defined fuzzy soft sets and intuitionistic fuzzy soft sets which are rich potentials for solving decision making problems. It has been found that soft set, fuzzy set and rough set are closely related concepts. In this work, we define intuitionistic fuzzy soft set aggregative operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-11-17T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8218 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8218 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8218

oai:ntmsci.com/cmma/ajaxtool/oai:article/7193 2016-08-12T21:00:00Z 1

Brand gender, brand personality and brand loyalty relationship Izzet Gumus Brand, Brand Value, Brand Identity, Brand Personality, Brand Gender Brand personality, especially brand gender concepts are quite new in Turkey, therefore these concepts have not been used as a topic in research. The aim of this research is to shed light on the literature by emphasizing the relationship between brand personality, brand gender and brand loyalty. This research is conducted to demonstrate the effects of brands loyalty on consumers in terms of gender and personality. Brand categories and brands are chosen in consideration of this aim. Questionnaire is responded face to face by 301 consumers and consumers’ brand perceptions are investigated. Also, brand loyalty levels of the consumers are evaluated. The data is analysed in IBM SPSS 21 (Statistical Package for Social Sciences). Results are analysed and reported with IBM SPSS 21 by using scientific methods. These methods are analysed with Independent T Test, One way ANOVA and Pearson Correlation. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-08-12T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7193 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7193 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7193

oai:ntmsci.com/cmma/ajaxtool/oai:article/7201 2016-10-08T21:00:00Z 1

Investigation of non-lightlike tubular surfaces with Darboux frame in Minkowski 3-space Emad Mohammed Solouma Minkowski space-time, tubular surface, Darboux frame, geodesic curvature. In this paper, the timelike tubular surface with Darboux frame is introduced in Minkowski 3-space. Then, some characterizations were investigated for special curves on this tube with Darboux frame in Minkowski 3-space. Finally, we compute the Gaussian and mean curvature of tubular surface with Darboux frame Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-10-08T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7201 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7201 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7201

oai:ntmsci.com/cmma/ajaxtool/oai:article/8236 2017-01-06T21:00:00Z 1

On new Hermite-Hadamard-Fejer type inequalities for p-convex functions via fractional integrals Mehmet Kunt, Imdat Iscan Hermite-Hadamard inequalities, Hermite-Hadamard-Fejer inequalities, fractional integral, convex functions, harmonically convex functions, $p$-convex functions. In this paper, firstly, new Hermite-Hadamard-Fejer type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite-Hadamard-Fejer type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-01-06T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8236 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8236 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8236

oai:ntmsci.com/cmma/ajaxtool/oai:article/7200 2016-10-08T21:00:00Z 1

Insurance in Turkey and main problems of the sector Alaattin Firat Insurance, insurance in Turkey, insurance sector, the problems of insurance sector, the features of the insurance sectors. In this study, by handling private insurance sector in Turkey and the problems of the sector as a whole, the last stage that the insurance business in Turkey has reached has been evaluated. Basically, because of the fact that the most of the people had fatalistic understanding, religious leaders approached the concept of insurance negatively and adequate information hadn’t been gotten about insurance, the settlement of the idea of insurance in Turkey came true after 150 years later, at the end of 19. Century compared with Europe. As a result of changing conditions, Turkey is in 63rd in accordance with the insurance density on the world countries’ rank, and is in 39th rank in accordance with the primary production. In spite of this, when we examine the studies according to per person criteria, it is seen that the premium rate per person in Turkey is fortieth level among developed countries. The top reason of the fact that insurance business in Turkey hasn’t risen to the requested level is that there is still fatalistic society understanding; and also, the fact that insurance understanding hasn’t been settled, and hitching and late payment on damage payments of insurance firms, and not having an effective promotion and marketing understanding are seen as the primary reasons. Despite of these negative factors, in Turkey being an developing country, the insurance sector has a potential to show at least a threefold improvement from todays’ position in a short time in case of precautions to be taken by state and applying these precautions by seriousness. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-10-08T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7200 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7200 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7200

oai:ntmsci.com/cmma/ajaxtool/oai:article/8224 2016-12-20T21:00:00Z 1

Finite element method for a fluid flow in a non-uniform channel Tesfahun Berhane, Mebratu F. Wakeni Fluid flow, Finite element method, Non-uniform channel. A numerical method based on the fnite element method is used for an investigation of viscous, incompressible fuid fowing in a channel with slowly varying cross-section with absorbing walls. The proposed mathematical model can be applied to understand the fow behaviour of a fuid in renal tubules. The method is not restricted by the parameters in the problem such as wave number, permeability parameter, amplitude ratio and Reynolds number. The effects of these parameters on the transverse velocity and mean pressure drop is studied and the results are presented graphically. Results show that the parameters cause a signifcant change on the fow. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-12-20T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8224 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8224 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8224

oai:ntmsci.com/cmma/ajaxtool/oai:article/8223 2016-12-20T21:00:00Z 1

Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials Birol Ibis, Mustafa Bayram Hermite collocation method (HCM), collocation points, Hermite polynomials, neutral functional-differential equations (NFDEs). In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the neutral functional-differential equations (NFDEs) with proportional delays. By using Hermite polynomials and collocation points, NFDEs and the given conditions are transformed into matrix equation which corresponds to a system of linear algebraic equations with unknown Hermite coefficients. Hence, by solving this system, the unknown Hermite coefficients are computed. In addition, some numerical examples are given and comparisons with other methods are made in order to demonstrate the validity and applicability of the proposed method. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2016-12-20T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8223 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8223 Communication in Mathematical Modeling and Applications, Year:2016, Vol:1, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8223

oai:ntmsci.com/cmma/ajaxtool/oai:article/8340 2017-10-20T21:00:00Z 1

Non-polynomial spline method for solving the generalized regularized long wave equation Talaat S. EL-Danaf, K. R. Raslan, Khalid K. Ali Non-polynomial spline, generalized regularized long wave equation, solitary waves, solitons. In this paper, non-polynomial spline method for solving the generalized regularized long wave (GRLW) equation are presented. In this paper, we take deferent spline functions. The stability analysis using Von-Neumann technique shows the scheme is marginally stable. To test accuracy the error norms L_{2} , L_{\infty } are computed. Also, the change in conservation quantities are evaluated which are found to be very small. To illustrate the applicability and efficiency of the basis, we compare obtained numerical results with other existing recent methods. Moreover, interaction two and three solitary waves are shown. The development of the Maxwellian initial condition into solitary waves is also shown and we show that the number of solitons which are generated from the Maxwellian initial condition can be determined. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-20T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8340 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8340 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8340

oai:ntmsci.com/cmma/ajaxtool/oai:article/8341 2017-10-21T21:00:00Z 1

An optimal multiple switching problem under weak assumptions Imen Hassairi Real options, snell envelope, stopping time, optimal switching. This work studies the problem of optimal multiple switching in finite horizon, when the switching costs functions are continous and belong to class D. This problem is solved by means of the Snell envelope of processes. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-21T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8341 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8341 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8341

oai:ntmsci.com/cmma/ajaxtool/oai:article/8272 2017-04-24T21:00:00Z 1

Inverse Sturm-Liouville Problem with Energy dependent potential Hikmet Koyunbakan, Aram Bajalan Energy dependent potential, spectrum, Ambarzumyan theorem. In this short note we analyze the asymptotics of eigenvalues, and Ambarzumyan type theorem for energy dependent potential problem with boundary condition including spectral parameter. We should mention that results are more general then the results given in [18]. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-04-24T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8272 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8272 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8272

oai:ntmsci.com/cmma/ajaxtool/oai:article/8346 2017-10-26T21:00:00Z 1

Heat transfer study in porous fin with temperature-dependent thermal conductivity and internal heat generation using Legendre wavelet collocation method Gbeminiyi Sobamowo Legendre wavelet collocation method, porous fin, thermal performance, temperature-dependent thermal conductivity and internal heat generation. In this paper, heat transfer study of porous fin with temperature-dependent thermal conductivity and internal heat generation is analyzed numerically using Legendre wavelet collocation method. The numerical solutions are used effects of nonlinear thermal conductivity, convective and porosity parameters on the thermal conductivity of the fin. The Legendre wavelet collocation method is verified with the results of numerical method using Runge-Kutta method and good agreements are established. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-26T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8346 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8346 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8346

oai:ntmsci.com/cmma/ajaxtool/oai:article/8268 2017-04-11T21:00:00Z 1

Associative monotonic commutative operator (AMC) UV Umit Ertugrul Uninorm, nullnorm, chain, AMC operator. Uninorms and nullnorms are associative monotonic and commutative operators. In this study, an operator UV is defined by uninorm U and nullnorm V and showed that UV satisfies associativity, monotonicity and commutativity properties. And it is showed that UV does not have neutral element and have zero element if U is disjunctive uninorm on [0,k]. Moreover, it is show that if it is taken smallest uninorm and nulnorm, UV is also smallest AMC operator. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-04-11T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8268 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8268 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8268

oai:ntmsci.com/cmma/ajaxtool/oai:article/8271 2017-04-24T21:00:00Z 1

A general evaluation on life insurance in Turkey Alaattin Firat Insurance, life insurance, insurance in Turkey, reasons for not developing. Insurance is a contract that aims to compensate the insured who suffers from building, object, property or life damage as a result of natural disasters such as fires, accidents, deaths and so on, by the insurer. In other words, it compensates for the damages and tries to reduce the uncertainty and risks of the future. In this study, we have studied Life Insurance in Turkey, a Middle East country whose 90\% of the population is Muslim and is in the category of developing countries. As a result, we observe that in countries like Turkey and similar countries life insurance does not develop at the desired level due to religious, technological and economic reasons. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-04-24T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8271 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8271 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8271

oai:ntmsci.com/cmma/ajaxtool/oai:article/8343 2017-10-21T21:00:00Z 1

New soliton solutions in dual-core optical fibers Samir Shamseldeen, Mohamed Soror Abdel Latif, Asmaa Hamed, Hamed Nour Dual-core fiber, dark-bright soliton, elliptic functions, Shrodinger equation. In this paper, we study a certain class of equations that model the propagating in dual-core fibers . Linear stability analysis is applied to discuss the existence of some types of travelling wave solutions and to compute the wave speed. New doubly periodic solutions are obtained, and new bright and dark soliton solutions are found. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-21T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8343 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8343 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8343

oai:ntmsci.com/cmma/ajaxtool/oai:article/8345 2017-10-22T21:00:00Z 1

Generalization of the fejer-hadamard type inequalities for p-convex functions via k-fractional integrals Ghulam Farid, Waqas Ayub, Atiq Rehman p-convex functions, Hadamard inequality, Fejer- Hadamard Inequality, k-Fractional Integrals, k-Gamma Function. The aim of this paper is to obtain some more general fractional integral inequalities of Fejer Hadamard type for p-convex functions via Riemann-Liouville k-fractional integrals. Also in particular fractional inequalities for p-convex functions via Riemann-Liouville fractional integrals have been deduced. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-22T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8345 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8345 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8345

oai:ntmsci.com/cmma/ajaxtool/oai:article/8347 2017-10-26T21:00:00Z 1

A numerical study of a fluid flow by transforming a non-uniform wavy channel Tesfahun Berhane, Getachew Adamu Fluid flow, non-uniform channel, finite difference method. An incompressible viscous flow in a non-uniform wavy channel with slowly varying cross section with absorbing walls is numerically studied. The governing equations are solved using finite difference method by transforming the irregular boundary of the region of the problem to rectangular region. The effect of different parameters on the transverse velocity and the mean pressure drop is analyzed. The results obtained using this method is in a good argument with results obtained by other numerical methods without transforming the wavy channel to rectangular channel. The results are presented by using tables and graphs. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-26T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8347 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8347 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8347

oai:ntmsci.com/cmma/ajaxtool/oai:article/8348 2017-10-26T21:00:00Z 1

Application of Bernoulli wavelet method for numerical solution of fuzzy linear Volterra-Fredholm integral equations Mohamed A. Ramadan , Mohamed R. Ali Bernoulli polynomials, Bernoulli wavelets, Volterra-Fredholm fuzzy integral equations, Integration of the cross product, Product matrix, Coefficient matrix. This work, Bernoulli wavelet method is formed to solve nonlinear fuzzy Volterra-Fredholm integral equations. Bernoulli wavelets have been Created by dilation and translation of Bernoulli polynomials. First we introduce properties of Bernoulli wavelets and Bernoulli polynomials, and then we used it to transform the integral equations to the system of algebraic equations. We compared the result of the proposed method with the exact solution to show the convergence and advantages of the new method. The results got by present wavelet method are compared with that of by collocation method based on radial basis functions method. Finally, the numerical examples explain the accuracy of this method. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-26T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8348 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8348 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8348

oai:ntmsci.com/cmma/ajaxtool/oai:article/8344 2017-10-21T21:00:00Z 1

Deriving Behaviour of Hodgkin Huxley model with fever dynamics: A computational study Hasan Eskalen , Sukru Ozgan Hodgkin-Huxley, exponential integrate and fire, I-V curve, reduction. A single neuron can be modeled by the set of differential equations. Hodgkin-Huxley (HH) model, the one of the most famous neuron model, can be considered as a dynamical system with four independent variables. Here we studied to reduce the number of differential equation required for conductance based HH model under strong inhibitory noise. Exponential Integrate and Fire (EIF) model, one independent variable, is used as a reduced model of HH model by using current-voltage (I-V) curve of the original model. The required reduction parameters are determined from this curve. The behaviour of HH model and its reduced EIF (rEIF) model are in good agreement in sub-threshold level. Above-threshold behaviour of reduced EIF model and original model compared in terms of threshold voltage under strong inhibitory noise. Our numerical simulations clearly show that sub-threshold behaviour of HH model perfectly reduced to rEIF model. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-21T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8344 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8344 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8344

oai:ntmsci.com/cmma/ajaxtool/oai:article/8349 2017-10-26T21:00:00Z 1

Fixed Point Approach to Bagley Torvik Problem Lale Cona Fixed point, initial value problem, Bagley-Torvik equation, Riemann-Liouville derivative. In the present paper, a sufficient condition for existence and uniqueness of Bagley Torvik problem is obtained. The theorem on existence and uniqueness is established. This approach permits us to use fixed point iteration method to solve problem for differential equation involving derivatives of nonlinear order. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-26T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8349 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8349 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8349

oai:ntmsci.com/cmma/ajaxtool/oai:article/8383 2018-01-25T21:00:00Z 1

An application of logistics regression model to determining the credit suitability and impacting factors in a special bank branch Muharrem Unver, Berge Sahin and Filiz Ersoz Bank, logistic regression (LR), factors affecting for loan. There are quite complicated rules and constraints that can be imposed by the bank when the loan issued. Bank branches, which play a direct role in the credit, must accurately determine the customer's credit request to eliminate these difficulties and create an effective payment system according to the customer. In the study, 100 random loan applications made in 2016 of a bank branch operating in the Black Sea Region were examined. These customer demands are affecting customer characteristics. The "Logistic Regression Model" was created to predict creditworthiness according to the identified fugitives. In the model, customer age, education, marital status, debt grade, credit card debt, other debts, cross product are the variables. These are statistically significant in terms of marital status, gender, cross product, or creditworthiness. However, various variables such as debt income ratio, credit card debt, and other debts are statistically significant and affect credibility to negatively. In addition, occupational, income and educational constraints were found to be meaningless. With this model, the factors affecting the credit were evaluated. As a result of the study, the bank branch will benefit from the statistical model in which it is created, to evaluate according to the customer characteristics in its portfolio, and to give more credit to branch customers. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-01-25T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8383 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8383 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8383

oai:ntmsci.com/cmma/ajaxtool/oai:article/8342 2017-10-20T21:00:00Z 1

Testing the consistency of a novel bowling scoring system against the current approach Abdel-Salam G. Abdel-Salam, Mohammad D.Mollazehi, IbrahimA. El Feky, Yousuf A. Dorra, Irfan J. Ismail and Salman Umer Scoring System, bowling, conditional modeling, categorical data analysis, cumulative logit model. This study introduces a new bowling scoring system and tests its consistency with the current scoring system with respect to preserving player placements. A comprehensive simulation study for different scenarios; two-player, three-player, and four-player games performed. The simulations empirically quantify the likelihood of experiencing concordant results between the two (current and new) systems. The simulation study revealed that the percentage of times that the current and new scoring systems yield the same placements at least 85\% when two players compete, at least 66\% of the time when three players compete, and at least 43\% of the time when four players compete regardless of the ability levels of the players. A comparison study using real bowling data-sets have been done and showed the consistence for the new scoring system with the current one. However, the new scoring system is easy to calculate, understand and to be implemented. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2017-10-20T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8342 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8342 Communication in Mathematical Modeling and Applications, Year:2017, Vol:2, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8342

oai:ntmsci.com/cmma/ajaxtool/oai:article/8387 2018-01-29T21:00:00Z 1

Modelling and optimization of multi-item solid transportation problems with uncertain variables and uncertain entropy function Hasan Dalman Uncertain entropy function, multi-item solid transportation problem, uncertain multiobjective optimization, uncertainty theory. This paper concentrates on modeling of the uncertain entropy multi item solid transportation problem, in which the supply capacities, demands, conveyances and transportation capacities are thought to be uncertain variables due to the obvious uncertainty of information. In general, the transportation cost in the transportation problem is employed by the optimization aim, while the dispersals of trips among sources, destinations, and conveyances are often ignored. In order to minimize both transportation penalties and maximize entropy value which guarantees uniform transportation of products from sources to destinations via conveyances, this paper holds entropy function of dispersals of trips among sources, destinations, and conveyances as a second objective function. Inside the construction of uncertainty theory, the uncertain entropy function for transportation models is first proposed here. Thus the model is turned into its crisp equivalent by using uncertainty theory, which can be solved by applying minimizing distance optimization method. Finally, a numerical experiment is given to illustrate the models. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-01-29T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8387 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8387 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8387

oai:ntmsci.com/cmma/ajaxtool/oai:article/8384 2018-01-28T21:00:00Z 1

A mathematical analysis of a 2D model for tumor angiogenesis: An initial data perturbation approximation Serdal Pamuk and Irem Cay Tumor angiogenesis, linearization, perturbation, approximation. We present a 2D - mathematical model for tumor angiogenesis and solve it by linearizing it using an initial data perturbation approximation method. This method is a well-known and highly effective method to obtain solutions of coupled non-linear differential equations. This method shows that a few terms of the obtained approximate solution are enough to get an idea about the movement of endothelial, macrophage and pericyte cells in the extra cellular matrix, which are needed for the initiation of tumor angiogenesis. MATLAB-generated figures are provided. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-01-28T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8384 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8384 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8384

oai:ntmsci.com/cmma/ajaxtool/oai:article/8416 2018-03-19T21:00:00Z 1

Chebyshev collocation method for the two-dimensional heat equation Sevin Gumgum, Emel Kurul and Nurcan Baykus Savasaneril Heat equation, Chebyshev collocation method, Chebyshev polynomial solutions, error analysis of collocation methods. The purpose of this study is to apply the Chebyshev collocation method to the two-dimensional heat equation . The method converts the two-dimensional heat equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative example is included to demostrate the validity and applicability of the technique. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-03-19T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8416 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8416 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8416

oai:ntmsci.com/cmma/ajaxtool/oai:article/8399 2018-02-20T21:00:00Z 1

General evaluation of suborbital graphs Murat Beşenk Bianchi groups, suborbital graphs, circuits, paths. In this paper, we aim to review suborbital graphs and also give an example to an extension of directed graphs. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-02-20T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8399 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8399 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8399

oai:ntmsci.com/cmma/ajaxtool/oai:article/8414 2018-03-19T21:00:00Z 1

Average weakly edge domination number in graphs Mehmet Balci and Pınar Dundar Average weakly edge domination, edge distance, vulnerability. Communication is supposed to be continuous in a network design. It is important for a network to be tough so that communication is not interrupted in case any damage. In this paper, it is investigated how to decide which graph model to choose, when a selection is needed to make between different graphs to be used for a network model when all known vulnerability measures are same. We introduce the concept of the average weakly edge domination number of a graph as a new vulnerability measure. We establish relationships between the average weakly edge domination number and some other graph parameters, and the extreme values of given measure among all graphs and average weakly edge domination number for some families of graphs. Also a polynomial time algorithm with complexity O(n^3) is given. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-03-19T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8414 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8414 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8414

oai:ntmsci.com/cmma/ajaxtool/oai:article/8452 2018-07-29T21:00:00Z 1

A valid and advanced method for ranking the fuzzy numbers Elmira Abbasi, Rahim Saneifard and Ercan Celik Fuzzy numbers, ranking method, distance measure, generalized fuzzy numbers. With no doubt, ranking the fuzzy numbers are extremely effective and useful in different scientific fields such as Artificial Intelligence, Economics, Engineering and decision-making units and etc. The fuzzy quantities must be ranked before their engagement in the cycle of the applied functionalities. In this article, We offer a valid and advanced method for ranking the fuzzy numbers based on the Distance Measure Meter. In addition to the Distance Measure, we define a particular condition of the generalized fuzzy numbers. Having discussed some examples in this regard, we touch upon the advantages of this new method. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-07-29T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8452 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8452 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8452

oai:ntmsci.com/cmma/ajaxtool/oai:article/8441 2018-06-29T21:00:00Z 1

Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space Tuba Agirman Aydin, Mehmet sezer and Huseyin Kocayigit Timelike curve of constant breadth; Bernstein polynomials; Linear differential equations, Minkowski 3-space. In this study, we first show that the system of Frenet-like differential equation characterizing timelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational approximation based on Bernstein polynomials, we obtain the set of solution of the mentioned differential equation under the given initial conditions. Furthermore, we discuss that the obtained results are useable to determine timelike curves of constant breadth in Minkowski 3-space E_1^3. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-06-29T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441

oai:ntmsci.com/cmma/ajaxtool/oai:article/8465 2018-09-24T21:00:00Z 1

Generalization of Chebyshev wavelet collocation method to the rth-order differential equations Ibrahim Celik Chebyshev wavelets, collocation method, nonlinear differential equations, quasilinearization technique, approximate solution. Chebyshev wavelets operational matrices play an important role for the numeric solution of rth order differential equations. In this study, operational matrices of rth integration of Chebyshev wavelets are presented and a general procedure of these matrices is correspondingly given. Disadvantages of Chebyshev wavelets methods is eliminated for rth integration of Y(t). The proposed method is based on the approximation by the truncated Chebyshev wavelet series. Algebraic equation system has been obtained by using the Chebyshev collocation points and solved. The proposed method has been applied to the three nonlinear boundary value problems using quasilinearization technique. Numerical examples showed the applicability and accuracy. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-09-24T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8465 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8465 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8465

oai:ntmsci.com/cmma/ajaxtool/oai:article/8485 2018-12-17T21:00:00Z 1

Numerical simulation of thermal deformation of a rough slider bearing and its Asperities: special reference on load generation in parallel sliders Getachew Adamu and Prawal Sinha Longitudinal roughness, transverse roughness, thermal deformation, load capacity. The present work is an attempt to analyze the influence of thermal deformation on the thermo-hydrodynamic lubrication of infinitely long tilted pad slider rough bearings. As a consequence of heating the slider is deformed and is assumed to take a parabolic shape. Also the asperities expand leading to smaller effective film thickness. Two different types of surface roughness are considered: longitudinal roughness and transverse roughness. Christensen’s stochastic approach is used to derive the Reynolds-type equations. Density and viscosity are considered to be temperature dependent. The modified Reynolds equation, momentum equation, continuity equation and energy equation are decoupled and solved using finite difference method to yield various bearing characteristics. From the numerical simulations it is observed that the performance of the bearing is significantly affected by the thermal deformation of the slider and asperities and even the parallel sliders seem to carry some load. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-12-17T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8485 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8485 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8485

oai:ntmsci.com/cmma/ajaxtool/oai:article/8478 2018-11-12T21:00:00Z 1

Boundary layer flow of a nanofluid in an inclined wavy wall with convective boundary condition A. Yusuf, G. Bolarin, M. Jiya, Y. M. Aiyesimi and G. T. Okedayo Thermophoresis, nanofluid, nano particles, boundary layer, thermo-difussion, difussion thermo, channel flow, wavy wall and Adomian decomposition method. This problem focuses on the laminar flow of a nanofluid in an inclined permeable parallel walls. We assume that the lower wall is wavy while the upper wall is flat with Dufour effects, Soret effects, and a magnetic field effect with boundary conditions been convective. The rectangular coordinate system has been used to present the model for this problem. It also incorporates the effect of thermophoresis parameter and Brownian motion. The obtained similarity solution is dependent on the thermophoresis number (Nt ), Darcy number (Da), Magnetic parameter (M), Dufour (DU) number, Soret (Sr) number, Brownian motion (Nb), Lewis number (Le), Prandtl number (Pr). It is found that at the wavy wall, the fluid flow back. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-11-12T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8478 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8478 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8478

oai:ntmsci.com/cmma/ajaxtool/oai:article/8496 2018-12-30T21:00:00Z 1

Stability analysis of infectious diseases model in a dynamic population Joseph A. Akinyemi, Micheal O. Adeniyi and Angela U. Chukwu Basic reproduction number, dynamic population, asymptotically stable , Lyapunov function, equilibrium point. The stability analysis of infectious disease model in a dynamic population is studied.The recruitment rate into the susceptible population is introduced since the population is dynamic thereby allowing a varying population as a result of migration and birth. The model exhibited two equilibria: the disease-free and endemic. The local stability of the model is asymptotically stable when and unstable when. The global stability analysis of the disease-free shows that the system is globally stable when the first derivative of the Lyapunov function is negative. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-12-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8496 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8496 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8496

oai:ntmsci.com/cmma/ajaxtool/oai:article/8495 2018-12-28T21:00:00Z 1

Darboux transformation for soliton solutions of the modified Kadomtsev-Petviashvili-II equation Mohamed R. Ali Darboux transformation , soliton solutions , modified Kadomtsev-Petviashvili-II equation. Soliton solutions as far as hyperbolic cosines to the modified Kadomtsev–Petviashvili II equation are displayed. The behaviour of each line soliton in the far region can be characterized analytically. It is revealed that under certain conditions, there may appear an isolated bump in the interaction centre, which is much higher in peak amplitude than the surrounding line solitons, and the more line solitons interact, the higher isolated bump will form. These results may provide a clue to generation of extreme high-amplitude waves, in a reservoir of small waves, based on nonlinear interactions between the involved waves. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-12-28T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8495 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8495 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8495

oai:ntmsci.com/cmma/ajaxtool/oai:article/8498 2018-12-30T21:00:00Z 1

Lucas collocation method to determination spherical curves in euclidean 3-space Muhammed Cetin, Huseyin Kocayigit and Mehmet Sezer Spherical curves, Frenet frame, Lucas polynomial and series, collocation points, differential equation. In this study, we give a necassary and sufficient condition for an arbitrary-speed regular space curve to lie on a sphere centered at origin. Also, we obtain the position vector of any regular arbitrary-speed space curve lying on a sphere centered at origin satisfies a third-order linear differential equation whose coefficients is related to speed function, curvature and torsion. Then, a collocation method based on Lucas polynomials is developed for the approximate solutions of this differential equation. Moreover, by means of the Lucas collocation method, we approximately obtain the parametric equation of the spherical curve by using this differential equation. Furthermore, an example is given to demonstrate the efficiency of the method and the results are compared with figures and tables. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-12-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8498 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8498 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8498

oai:ntmsci.com/cmma/ajaxtool/oai:article/8517 2019-04-14T21:00:00Z 1

Approximate solution of the problem of delayed variable boundary value by the CAS wavelet method Elif Deniz Ozturk, Arzu Aykut and Ercan Celik Fredholm-Volterra integral equations, differential equation with retarded argument, CAS wavelet method. In this paper, by considering the boundary value problem x'' (t)+a(t)x(t-τ(t))=f(t), (0≤t≤T) x(t)=φ(t)(λ_0≤t≤0), x(T)=x(c)(0<c<T) such that τ(t)≥0 is an arbitrary continous function on 0≤t≤T, Fredholm-Volterra Integral Equation, which is equivalent to this problem, was written considering the boundary value problem. Under certain conditions, the Fredholm-Volterra integral equation was transformed into the Fredholm integral equation. The solution of this integral equation is approximated by the "CAS Wavelet" method. Thus, an approximate solution to the given boundary value problem was found. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-04-14T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8517 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8517 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8517

oai:ntmsci.com/cmma/ajaxtool/oai:article/8494 2018-12-28T21:00:00Z 1

Solution of KdV and boussinesq using Darboux transformation Mohamed R. Ali Darboux transformation, multisoliton solution, spectral problem, generalized Korteweg-de Vries equations, Boussinesq equation. Two Darboux transformations of the Korteweg-de Vries (KdV) equation and Boussinesq equation are constructed through the Darboux method. Soliton solutions of these two equations are presented by applying the Darboux transformations. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2018-12-28T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8494 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8494 Communication in Mathematical Modeling and Applications, Year:2018, Vol:3, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8494

oai:ntmsci.com/cmma/ajaxtool/oai:article/8518 2019-04-14T21:00:00Z 1

Semi-analytical solution for the mathematical modeling of yellow fever dynamics incorporating secondary host Samuel Abu Somma, Ninuola Ifeoluwa Akinwande, Roseline Toyin Abah, Festus Abiodun Oguntolu and Florence Dami Ayegbusi Semi-analytical, mathematical modeling, yellow fever, dynamics, differential transformation method. In this paper we use Differential Transformation Method (DTM) to solve the mathematical modeling of yellow fever dynamics incorporating secondary host. The DTM numerical solution was compared with the MAPLE RungeKutta 4-th order. The variable and parameter values used for analytical solution were estimated from the data obtained from World Health Organization (WHO) and UNICEF. The results obtained are in good agreement with Runge-Kutta. The solution was also presented graphically and gives better understanding of the model. The graphical solution showed that vaccination rate and recovery rate play a vital role in eradicating the yellow fever in a community. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-04-14T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8518 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8518 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8518

oai:ntmsci.com/cmma/ajaxtool/oai:article/8520 2019-04-15T21:00:00Z 1

Some inequalities for prequasiinvex functions Huriye Kadakal and Selahattin Maden Invex set, preinvex function, prequasiinvex function, Hölder and power mean integral inequality. In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder integral inequality and Power mean integral inequalitiy we present new type integral inequalities for functions whose powers of fourth derivatives in absolute value are prequasiinvex functions. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-04-15T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8520 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8520 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8520

oai:ntmsci.com/cmma/ajaxtool/oai:article/8582 2019-12-30T21:00:00Z 1

A mathematical model applied to understand the dynamical behavior of predator Prey model Sonia Akter, Md. Sirajul Islam, Md. Haider Ali Biswas and Sajib Mandal Lotka-Volterra model, steady-state, stability, Jacobian matrix method, numerical simulations. Predator-prey model is useful and often used in the environmental science field because they allow researchers both to observe the dynamic of animal populations and make predictions as to how they will develop over time. One of the most ecological applications of differential equations system is predator prey problem. In this paper, we will discuss about shark and fish Lotka-Volterra modified predator prey model in differential equation. The solution, existence, uniqueness and boundedness of the solution of the model are investigated. We also analysis about the steady state and stability analysis using Jacobian matrix method. Finally, numerical simulations are carried out to justify analytical results. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-12-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8582 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8582 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8582

oai:ntmsci.com/cmma/ajaxtool/oai:article/8539 2019-06-29T21:00:00Z 1

Robust Numerical Solution for Solving Elastohydrodynamic Lubrication (EHL) Problems using Total Variation Diminishing (TVD) Approach Peeyush Singh and and Prawal Sinha TVD schemes, multi-level, variational inequality, elastohydrodynamic lubrication, defect-correction. In this study, we propose a class of total variation diminishing (TVD) schemes for solving pseudo-monotone variational inequality arises in elastohydrodynamic lubrication point contact problem. A limiter based stable hybrid line splittings are introduced on a hierarchical multi-level grid. These hybrid splittings are designed by use of diffusive coefficient and mesh dependent switching parameter in the computing domain of interest. The spectrum of illustrated splittings is derived with the help of well known local Fourier analysis (LFA). Numerical tests validate the performance of the scheme and its competitiveness to the previous existing schemes. Advantages of proposed splittings are observed in the sense that it reduces computational complexity (up to ($O(n\log n)$) and solve high order discretization directly (no defect-correction tool require) without perturbing the robustness of the solution procedure (i.e. it works well for a large range of load parameters). Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-06-29T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8539 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8539 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8539

oai:ntmsci.com/cmma/ajaxtool/oai:article/8548 2019-09-02T21:00:00Z 1

Generalized fractional Ostrowski type inequalities for hiegher order derivaatives Ather Qayyum, Muhammad Shoaib and Samet Erden Ostrowski inequality, Riemann-Liouville fractional integral, fractional inequality. In this paper, we present general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of di¤erent orders of the function and its ordinary derivatives. We also use these Montgomery identities to establish some new Ostrowski type integral inequalities. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-09-02T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8548 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8548 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8548

oai:ntmsci.com/cmma/ajaxtool/oai:article/8547 2019-09-29T21:00:00Z 1

Notes on some p-valent functions Zeliha Karahüseyin, Melike Aydoğan and Shigeyoshi Owa Analytic function, p-valent function,Fejér-Riesz inequality. Let A_p be the class of analytic functions f(z)=z^p+a_(p+1) z^(p+1)+a_(p+2) z^(p+2)+⋯ in the open unit disk U. We introduce a subclass A_p (j,α) of A_p using some inequality for f(z)∈A_p. The object of the present paper is to consider some interesting properties for f(z) concerning with the class A_p (j,α). Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-09-29T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8547 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8547 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8547

oai:ntmsci.com/cmma/ajaxtool/oai:article/8583 2019-12-30T21:00:00Z 1

Numerical investigation of entropy generation in unsteady MHD generalized Couette flow with convective cooling O. Kigodi, M. H. Mkwizu, A X Matofali, M. A. Selemani, N. Ainea, S. Khamis and G. K. Karugila Magneto hydrodynamic (MHD), Couette flow, nanofluids, entropy generation. This study aimed at making an investigation on entropy generation in unsteady MHD generalized couette flow with convective cooling. Specifically the study intended to; develop flow model for a case of nanofluid in a channel, determine the effect of different parameters on velocity, temperature and entropy generation and to determine the effect of magnetic field on the flow on an entropy generation. Also the study aim to come up with distinctively recommendation on dynamics of entropy generation, temperature variation and velocity profiles in unsteady MHD flow with convective cooling. Findings showed that an increase in nanoparticles and Reynolds number leads to increase in the velocity while pressure gradient, MHD and nanofluid fraction held constant. It is evidently that Alumina-water nanofluid tends to raise the velocity profile faster than Copper-water nanofluid. Also the results show that an increase in Eckert number causes the decrease in temperature profile. Further, it was noticed that Copper-water nanofluid tends to raise the temperature profile faster than Alumina-water nanofluid. More interestingly it was observed that the entropy generation rises as the result of increase in Eckert number. Also it is noticed that entropy generation rises in lower plate but when it comes closer the upper plate the entropy generation rate starts to fall as the result of increase in nanoparticles. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2019-12-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8583 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8583 Communication in Mathematical Modeling and Applications, Year:2019, Vol:4, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8583

oai:ntmsci.com/cmma/ajaxtool/oai:article/8595 2020-06-23T21:00:00Z 1

A new proof of Gronwall inequality with Atangana-Baleanu fractional derivatives Süleyman Öğretçi, Yasemin Başcı and Adil Mısır Gronwall inequality, Atangana-Baleanu fractional derivatives, Atangana-Baleanu fractional integrals, fractional differential equations. In this study, we establish a new version of Gronwall type integral inequality, which generalizes some previous ones. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2020-06-23T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8595 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8595 Communication in Mathematical Modeling and Applications, Year:2020, Vol:5, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8595

oai:ntmsci.com/cmma/ajaxtool/oai:article/8653 2021-09-16T21:00:00Z 1

Antireduction method for the exact solutions of the porous media equation Serdal Pamuk Antireduction method, Exact solution, Porous Media equation, Porosity. By the antireduction method we obtain the exact solutions of porous media equation, a nonlinear heat equation that usually arises in mathematical biology, nonlinear problems of mass transfer and combustion theory. This method requires construction of a number of ansatzes that reduce nonlinear heat equations to a system of ordinary differential equations. Solving this system yields the exact solution of the given nonlinear heat equation. Our theoretical results are compared with some other results that appear in the research literature. In addition, numerical results are provided for various values of the porosity constant. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2021-09-16T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8653 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8653 Communication in Mathematical Modeling and Applications, Year:2022, Vol:7, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8653

oai:ntmsci.com/cmma/ajaxtool/oai:article/8656 2021-09-16T21:00:00Z 1

Numerical study of fractional quadratic Riccati differential equation using Padé approximation Veyis Turut Fractional Riccati differential equation, Univariate Padé approximation, Caputo sense. In this paper, univariate Padé approximation is applied to fractional power series solutions of fractional quadratic Riccati differential equation.. As it is seen from the tables, univariate Padé approximation gives reliable solutions and numerical results. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2021-09-16T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8656 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8656 Communication in Mathematical Modeling and Applications, Year:2021, Vol:6, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8656

oai:ntmsci.com/cmma/ajaxtool/oai:article/8659 2021-12-22T21:00:00Z 1

A numerical comparison of solutions of non-linear initial value problems of first order Serdal Pamuk Perturbation method, Adomian's decomposition method, initial value problems, exact solution, approximate solution The approximate solutions of first order non-linear initial value problems are obtained using both the perturbation method and the Adomian's decomposition method. The results are then compared with the exact solution, and they are presented in a number of figures for the various values of parameter epsilon. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2021-12-22T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8659 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8659 Communication in Mathematical Modeling and Applications, Year:2021, Vol:6, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8659

oai:ntmsci.com/cmma/ajaxtool/oai:article/8704 2022-12-21T21:00:00Z 1

New results on delay dependent stability for a class of nonlinear systems with additive time delay Yener Altun LKF, Delay dependent stability, Time delay, Additive time delay, LMI. In this manuscript, the issue of delay dependent stability for a class of additive delayed nonlinear systems has been searched. By constructing an appropriate Lyapunov-Krasovskii functional (LKF), some new stability criteria are established in terms of linear matrix inequalities (LMIs) which can be easily tested. This manuscript also presents a new result of stability analysis for a class of nonlinear systems with two additive time delays. Finally, two illustrative examples with numerical simulations have been given to show the applicability of the obtained theoretical results by using the MATLAB-Simulink. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2022-12-21T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8704 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8704 Communication in Mathematical Modeling and Applications, Year:2022, Vol:7, Issue:2 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8704

oai:ntmsci.com/cmma/ajaxtool/oai:article/8714 2023-05-30T21:00:00Z 1

A model for an application to biomedical industry through viscoinelastic nanofluid flow P. Priyadharshini, M. Vanitha Archana, Elsayed Elsayed, D. Vivek Magnetohydrodynamic, Viscoinelastic Nanofluid, Stretching Sheet, Biomedical procedures such as surgical glue, knee replacement surgery, blood diagnostic and many others can exhibit the signi?cance of viscoinelastic behavior with non-newtonian characteristics is analysed. Present article addresses the ?ow design is to accentuate the thermophysical characteristics of electrically conducting viscoinelastic nano?uid ?ow produced by a stretched surface. The impacts of Brownian motion and thermophoresis on viscoinelastic nano?uid are accounted in the presence of heat and mass transfer convective states. The modeled partial di?erential equations are transmuted into nonlinear ordinary di?erential equations employing similarity transformations to facilitate the computation procedure. The solution of the achieved boundary value problem is procured numerically by utilizing a program written with sti?ness-changing methodology. The manners of controlling parameters on the ?uid velocity, temperature, and concentration pro?les are spotlighted via graphs. Finally, by changing the pertinent parameters, the Machine Learning technique is used to investigate critical properties of ?uid ?ow near the wall, such as skin friction coe?cient, Nusselt number, and Sherwood number. The e?ects of driving parameters are illustrated in a graphical and tabular format. The precision of the current methodology is validated by a comparison between the current and previous ?ndings. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2023-05-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8714 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8714 Communication in Mathematical Modeling and Applications, Year:2023, Vol:8, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8714

oai:ntmsci.com/cmma/ajaxtool/oai:article/8708 2022-12-30T21:00:00Z 1

On the existence and uniqueness of the steady-state solution in a tumor angiogenesis model Serdal Pamuk Existence; uniqueness; capillary formation; tumor angiogenesis; steady-state solution. We prove the existence and uniqueness of the steady-state solution of a nonlinear parabolic equation modeling the capillary formation in tumor angiogenesis. The analysis is based on the Lax-Milgram Theorem in variational calculus. Proving the existence and uniqueness of this steady-state shows that there is only one way for endothelial cells to follow the trail of transition probability density function. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2022-12-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8708 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8708 Communication in Mathematical Modeling and Applications, Year:2022, Vol:7, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8708

oai:ntmsci.com/cmma/ajaxtool/oai:article/8709 2022-12-30T21:00:00Z 1

He s variational iteration method for solving linear and non-linear heat equations Serdal Pamuk Approximate analytical solution, non-linear heat equations, soliton-like, cubic nonlinearity, He's variational iteration method. In this paper He's variational iteration method is applied to solve linear and non-linear heat equations. This method is based on the use of a general Lagrange multiplier in the construction of correction functional for the equation. In comparison with existing techniques, this method is very powerful, and the solution procedure is very simple since it uses only the prescribed initial condition. Some analytical results are presented. Communication in Mathematical Modeling and Applications Communication in Mathematical Modeling and Applications 2022-12-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8709 ISSN: 2528-830X http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8709 Communication in Mathematical Modeling and Applications, Year:2022, Vol:7, Issue:3 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8709