Results 41 to 50 of about 1,565,786 (254)
Mathematics, 2021 A generalized proportional vector-order fractional derivative in the Caputo sense is defined and studied. Two types of existence results for the mild solutions of the initial value problem for nonlinear Caputo-type generalized proportional vector-order ...
Mohamed I. Abbas, Snezhana Hristova
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Existence in the Large for Caputo Fractional Multi-Order Systems with Initial Conditions
Foundations, 2023 One of the key applications of the Caputo fractional derivative is that the fractional order of the derivative can be utilized as a parameter to improve the mathematical model by comparing it to real data.
Zachary Denton, Aghalaya S. Vatsala
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]
, 2011 MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
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Solvability of Fractional Differential Inclusion with a Generalized Caputo Derivative [PDF]
Journal of Function Spaces, 2020 This paper is devoted to the investigation of a kind of generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability of the problem is established by means of the Leray-Schauder’s alternative approach with the help of the Lagrange mean-value classical theorem.
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Boundary Value Problems, 2022 In this paper, we study the existence and multiplicity of ρ-concave positive solutions for a p-Laplacian boundary value problem of two-sided fractional differential equations involving generalized-Caputo fractional derivatives.
Farid Chabane +3 more
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Mathematical Problems in Engineering, 2022 In this research work, we study two types of fractional boundary value problems for multi-term Langevin systems with generalized Caputo fractional operators of different orders.
Saeed M. Ali, Mohammed S Abdo
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Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives
Fractal and Fractional, 2019 This paper proposes novel analytical solutions of the mass-spring-damper systems described by certain generalized fractional derivatives. The Liouville−Caputo left generalized fractional derivative and the left generalized fractional derivative ...
Ndolane Sene +1 more
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Advances in Difference Equations, 2018 The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo +3 more
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A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a ...
A. M. Shkhagapsoev
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