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Three-Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative
Advances in Mathematical Physics, 2020 We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three-point boundary conditions by means of standard tools
Athasit Wongcharoen +3 more
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Blowing-up solutions for time-fractional equations on a bounded domain
Advances in Mechanical Engineering, 2022 This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain.
Abdellatif Boutiara +4 more
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Differential Equations & Applications, 2023 . In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators.
J. F. Junior +2 more
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IJISCS (International Journal of Information System and Computer Science), 2023 The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions.
A. Rafeeq, Muhammad Muhammad
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Nonautonomous Dynamical Systems, 2022 The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain.
Mfadel Ali El +3 more
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Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
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A new fractional boundary value problem and Lyapunov-type inequality
Journal of Mathematical Inequalities, 2021 Throughout this paper, we study a new modified version of fractional boundary value problem (BVP) of the form (a D α y)(t)+ p(t)y′(t)+q(t)y(t) = 0, a < t < b, 2 < α 3, with y(a) = y′(a) = y(b) = 0 , where p ∈C1([a,b]) and q ∈C([a,b]) .
E. Pourhadi, M. Mursaleen
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Existence result for a fractional differential equation involving a special derivative
Moroccan Journal of Pure and Applied Analysis, 2022 In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space.
Beddani Moustafa, Hedia Benaouda
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Nonlinear Engineering, 2022 This article discusses the stability results for solution of a fractional q-integro-differential problem via integral conditions. Utilizing the Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results.
Yue Xiao-Guang +4 more
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Boundary Value Methods for Caputo Fractional Differential Equations
, 2021 This paper deals with the numerical computation and analysis for Caputo fractional differential equations (CFDEs). By combining the p-order boundary value methods (BVMs) and the m-th Lagrange interpolation, a type of extended BVMs for the CFDEs with γ ...
Yongtao Zhou
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