Results 21 to 30 of about 244 (107)
A Generalization of the Hopf-Cole Transformation [PDF]
, 2012 A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Miskinis, Paulius
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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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Fractional model of COVID-19 applied to Galicia, Spain and Portugal [PDF]
, 2023 Xunta de Galicia | Ref. ED431C 2019/02Agencia Estatal de Investigación | Ref. MTM2016-75140-PInstituto de Salud Carlos III | Ref.
Area Carracedo, Iván Carlos +4 more
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Review of Some Promising Fractional Physical Models [PDF]
, 2015 Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
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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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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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On the solvability of equations with a distributed fractional derivative given by the Stieltjes integral [PDF]
, 2022 Linear equations in Banach spaces with a distributed fractional derivative given by the Stieltjes integral and with a closed operator A in the right-hand side are ...
Fedorov, V. E. +3 more
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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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Дробная математическая модель Макшерри
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 В статье предложено обобщение математической модели Макшерри для моделирования искусственной электрокардиограммы — изменяющегося во времени сигнала, отражающий ионный ток, который заставляет сердечные волокна сокращаться, а затем расслабляться. Обобщение
Алимов, Х.Т. +2 more
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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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