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Prof. Michele Caputo


Plenary Talk




Abstract.    After selecting a set of studies in different fields where I thought  that memory had a role and where was used a memory fractional operator I divided them in 3 groups: Social, Porous media, Rheology. Considering also the much larger variety and number of studies of many authors where the fractional operator was used is surprising, that a simple operator be suitable to represent the memory in many different fields and problems. We have then reasons to study, perhaps also experimentally, the memory properties of the media and the phenomena considered in these studies.



Prof. Hari M. Srivastava


Plenary Talk


Fractional-Order Integrals and Derivatives:

Current Trends and Non-Traditional Claims


Abstract. The 325-year-old subject of fractional calculus (that is, the calculus of integrals and derivatives of any arbitrary real or complex order) has gained remarkable popularity and importance specially during the past over fields of mathematical, physical, chemical, engineering and statistical sciences. I had the privilege to participate in the very first international conference on Fractional Calculus and Its Applications held at West Haven (Connecticut) in U.S.A. on 15-16 June 1974, on which occasion I met such stalwarts in the subject as (for example) Arthur Erdelyi (1908-1977), Eric Russell Love (1912-2001), Ian Naismith Sneddon (1919- 2000), and many others. It is indeed an honor for me to participate in this first Online Conference on Modern Fractional Calculus and Its Applications (OCMFCA 2020) celebrating 325 years of Fractional Calculus. Various operators of fractional-order derivatives as well as fractional-order integrals do indeed provide several potentially useful tools for solving differential and integral equations and integro-differential equations, which are used to successfully model various real-world problems. Regrettably, however, in recent years there is an on-going trend toward claiming extensions and generalizations of known and readily accessible definitions and results by introducing some obviously redundant and seemingly inconsequential parameters or by changing the variable of integration in a traditional integral definition of the familiar object. Therefore, in my opinion, there is a genuinely urgent need for the senior and non-amateurish mathematical analysts, who are researching in the subject, to carefully and critically investigate and closely examine the substance or novelty or depth, if any, in the so-called k-gamma function and the corresponding k-Pochhammer symbol and k-Laplace transform, the pathway-integral version and the conformable version as well as the so-called (k; s)-extension of the traditional Riemann-Liouville and other familiar operators of fractional calculus. Many of such claims to generalizations are no more than a joke in the theory and widespread applications of Fractional Calculus. 

I take this opportunity to thank the organizers as well as the participants for their invaluable contributions toward the success of OCMFCA 2020. 




Prof. Raoul R. Ngmatullin


Plenary Talk


The origin of the generalized memory:  analysis of the balance equations and corrections to the 3-rd Newton’s law


Abstract.    In this paper we considered the mechanism of the memory formation based on the linear and nonlinear balance equations. It becomes possible to derive the generalized expressions for the memory that connect the initial and the last equations belonging to the unified temporal chain by means of memory expressions. We demonstrate the validity of the hereditary principle that governs by equations, where it is necessary to reduce long-temporal chains without memory to equations having some memory. The modified Newton’s equations allow to give a glance on the fractional integrals of different types and demonstrate their natural origin. It becomes also to modify the third Newton’s law proposed empirically by Sir Isaak Newton. Its initial formulation did not take into account the influence of the memory, while the presence of the memory, connecting the first and the N-th particles, incorporated into the temporal chain can contain some corrections to the instantaneous Newton’s law given in its initial formulation.  






Prof. Mauro Fabrizio


Plenary Talk


Damage and fatigue described by a fractional model



Abstract. Fatigue and damage in the material science are consequences to loading and unloading processes, which produces gradual and progressive damage effects, involving crack nucleation, creep rupture and then rapid fracture. Since during these damage processes, we observe a change of the internal structure. So we describe such structural variation by means of a fractional order derivative.   





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ID Title FName LName Presentation PT Country Status
Id: 8519 Ms. Shivani Aeri Listener India Accepted (Participation confirmed by author)
Id: 8520 Assoc. Prof. Mohammad Sajid Listener Saudi Arabia Accepted (Participation confirmed by author)
Id: 8521 Mr. Ram Pratap Chauhan Listener India Accepted (Participation confirmed by author)
Id: 8522 Assoc. Prof. Saiful Mondal Listener Saudi Arabia Accepted (Participation confirmed by author)
Id: 8523 Dr. Usman Waziri Listener Nigeria Accepted (Participation confirmed by author)
Id: 8524 Mr. Ishfaq Ahmad Listener India Accepted (Participation confirmed by author)
Id: 8525 Assoc. Prof. Abedel-Karrem Nasser Alomari Homotopy solution for fractional differential equations with generalized Caputo-type fractional derivatives Oral Presentation Jordan Accepted (Participation confirmed by author)
Id: 8526 Prof. Dumitru BALEANU Modern Fractional Calculus: A Point of View Main Keynote Presentation Turkey Accepted (Participation confirmed by author)
Id: 8527 Dr. Babak Shiri Linearly time travel property for fractional operators Oral Presentation China Accepted (Participation confirmed by author)
Id: 8528 Dr. Ravichandran Ravichandran Results on controllability of Hilfer fractional derivative with nondense domain Oral Presentation India Accepted (Participation confirmed by author)
Id: 8529 Prof. Mohammed Al-Refai On the Estimates of Fractional Derivatives at Extreme Points and Their Applications Keynote Presentation Jordan Accepted (Participation confirmed by author)
Id: 8530 Prof. Jordan Hristov FRACTIONAL MODEL FOR REAL WORLD PHENOMENA: Basic principles in construction, causality and fractional operator applications Keynote Presentation Bulgaria Accepted (Participation confirmed by author)
Id: 8531 Assoc. Prof. Muhammad Imran Asjad Heat Transfer Flow of Clay-Water Base Nanoparticles with The Application of Novel Constant Proportional Caputo Fractional Derivative Keynote Presentation Pakistan Accepted (Participation confirmed by author)
Id: 8532 Asst. Prof. Sania Qureshi Modeling of Measles Epidemic with Optimized Fractional Order under Caputo Differential Operator Oral Presentation Pakistan Accepted (Participation confirmed by author)
Id: 8533 Prof. Shahram Rezapour Modeling Theory: Our weaknesses and some requirements Main Keynote Presentation Iran Accepted (Participation confirmed by author)
Id: 8534 Dr. Ricardo Almeida Some calculus of variations problems dealing with the distributed-order fractional derivative Oral Presentation Portugal Accepted (Participation confirmed by author)
Id: 8535 Ms. Amira Khelifa General solution of a system of fractional difference equations of higher order in terms of Fibonacci numbers Poster Presentation Algeria Accepted (Participation confirmed by author)
Id: 8536 Asst. Prof. Yacine Halim Dynamical behavior of a P-dimensional system of fractional nonlinear difference equations Oral Presentation Algeria Accepted (Participation confirmed by author)
Id: 8537 Asst. Prof. Musa Çakmak On Some Bullen Type Quantum Integral Inequalities Oral Presentation Turkey Accepted (Participation confirmed by author)
Id: 8541 Asst. Prof. Ya Jun Yu Thermoelasticity for piezoelectric material based on new definitions of fractional derivatives Oral Presentation China Accepted (Participation confirmed by author)
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