Results 31 to 40 of about 244 (107)
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
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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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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Fractional Diffusion–Wave Equation with Application in Electrodynamics
Mathematics, 2020 We consider a diffusion–wave equation with fractional derivative with respect to the time variable, defined on infinite interval, and with the starting point at minus infinity.
Arsen Pskhu, Sergo Rekhviashvili
doaj +1 more source
Integro-differential equations with bounded operators in Banach spaces [PDF]
, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
A.D. Godova, B.T. Kien, V.E. Fedorov
core +2 more sources
A discrete mechanical model of fractional hereditary materials [PDF]
, 2013 Fractional hereditary materials are characterized for the presence, in the stress-strain relations, of fractional-order operators with order beta a[0,1]. In Di Paola and Zingales (J. Rheol.
DI PAOLA, Mario +2 more
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Cauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives
REPORTS ADYGE (CIRCASSIAN) INTERNATIONAL ACADEMY OF SCIENCES, 2021 For the system of equations with the partial Gerasimov – Caputo derivatives, a general representation of regular in a rectangular domain solutions is constructed. Cauchy problem is investigated. Theorems of existence and uniqueness of the solution are proved.
openaire +1 more source
A Modified Fractional Derivative and its Application to Fractional Vibration Equation [PDF]
, 2016 In this paper, a new modified definition of the fractional derivative is presented. The Laplace transform of the modified fractional derivative involves the initial values of the integer-order derivatives, but does not involve the initial values of the ...
Duan, Jun-Sheng
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An efficient method for the analytical study of linear and nonlinear time-fractional partial differential equations with variable coefficients [PDF]
, 2023 The residual power series method is effective for obtaining approximate analytical solutions to fractional-order differential equations. This method, however, requires the derivative to compute the coefficients of terms in a series solution.
Akgül, A. +2 more
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Вестник КРАУНЦ. Физико-математические науки, 2023 В последнее время интенсивно изучаются начально – граничные задачи в прямоугольной области для дифференциальных уравнений в частных производных как четного, так и нечетного порядка. При этом в качестве объекта исследования, в основном, берется не вырождающееся уравнение или уравнение, вырождающееся на одной стороне четырехугольника.
Urinov, Akhmadzhon Kushakovich +1 more
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