Results 21 to 30 of about 197 (96)
Mathematics, 2020 We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on ...
Liana Eneeva +2 more
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A new mathematical formulation for a phase change problem with a memory flux [PDF]
, 2018 A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model
Bollati, Julieta +2 more
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A New Look at the Initial Condition Problem [PDF]
, 2022 Publisher Copyright: © 2022 by the author. Licensee MDPI, Basel, Switzerland.In this paper, some myths associated to the initial condition problem are studied and demystified.
Ortigueira, Manuel D.
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Нелокальная краевая задача для уравнения с производными дробного порядка с различными началами
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 Рассматривается линейное обыкновенное дифференциальное уравнение дробного порядка с композицией лево- и правосторонних операторов дробных производных в главной части.
Энеева, Л.М.
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Trends, directions for further research, and some open problems of fractional calculus [PDF]
, 2021 The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at ...
Diethelm, Kai +4 more
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Recent applications of fractional calculus to science and engineering
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 54, Page 3413-3442, 2003., 2003 This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional‐order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons in biology.
Lokenath Debnath
wiley +1 more source
A Class of Fractional Degenerate Evolution Equations with Delay
Mathematics, 2020 We establish a class of degenerate fractional differential equations involving delay arguments in Banach spaces. The system endowed by a given background and the generalized Showalter–Sidorov conditions which are natural for degenerate type equations. We
Amar Debbouche, Vladimir E. Fedorov
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 В этой статье была использована дробно-дифференциальная модель физических процессов с насыщением для описания динамики летальных исходов инфекции COVID-19.
Твёрдый, Д.А. +1 more
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Electrical analogous in viscoelasticity [PDF]
, 2014 In this paper, electrical analogous models of fractional hereditary materials are introduced. Based on recent works by the authors, mechanical models of materials viscoelasticity behavior are firstly approached by using fractional mathematical ...
ALA, Guido +4 more
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