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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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
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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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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
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On the generalized Laplace transform [PDF]
, 2021 This article belongs to the Special Issue Discrete and Fractional Mathematics: Symmetry and Applications.In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties ...
Bosch, Paul +3 more
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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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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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Mathematical Models of Oscillators with Memory [PDF]
, 2018 The chapter proposes a mathematical model for a wide class of hereditary oscillators, which is a Cauchy problem in the local formulation. As an initial model equation, an integrodifferential equation of Voltaire type was introduced, which was reduced by ...
Parovik, Roman Ivanovich
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, 2012 In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the time dependent ...
Garra, Roberto, Polito, Federico
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Ідентифікація параметрів однієї дробово-диференціальної моделі міграції розчинних речовин [PDF]
, 2019 Розглядається задача ідентифікації параметрів моделі у випадку математичного моделювання дробово-диференціальної динаміки аномального процесу конвективної дифузії розчинних речовин при профільній усталеній фільтрації ґрунтових вод з вільною поверхнею ...
Богаєнко, В.А. +2 more
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