Results 41 to 50 of about 1,446 (157)
Boundary Value Problems, 2020 Results reported in this paper study the existence and stability of a class of implicit generalized proportional fractional integro-differential Langevin equations with nonlocal fractional integral conditions.
Bounmy Khaminsou +3 more
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Fractal and FractionalThis study investigates the initial value problem of high-order variable-order φ-Hilfer fractional implicit integro-differential equations. Due to the lack of the semigroup property in variable-order fractional integrals, solving these equations presents
Peiguang Wang, Bing Han, Junyan Bao
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On nonlinear implicit fractional differential equations without compactness
The Journal of Nonlinear Sciences and Applications, 2017 Summary: The main purpose of this research paper is to develop some sufficient conditions for the existence of solution of a nonlinear problem of implicit fractional differential equations (IFDEs) with boundary conditions, using prior estimate method. The distinction of the method applied here is, it does not require compactness of the operator.
Bushnaq, Samia +2 more
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Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions [PDF]
SIAM Journal on Scientific Computing, 2016 We propose second-order implicit-explicit (IMEX) time-stepping schemes for nonlinear fractional differential equations with fractional order $0<β<1$. From the known structure of the non-smooth solution and by introducing corresponding correction terms, we can obtain uniformly second-order accuracy from these schemes.
Wanrong Cao +3 more
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Efficient Hybrid ANN-Accelerated Two-Stage Implicit Schemes for Fractional Differential Equations
MathematicsThis paper introduces a hybrid two-stage implicit scheme for efficiently solving fractional differential equations, with particular emphasis on fractional initial value problems formulated using the Caputo derivative.
Mudassir Shams, Bruno Carpentieri
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Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces
Pan-American Journal of Mathematics, 2023 This paper deals with some existence results for a class of k-generalized ψ-Hilfer implicit fractional differential equations in b-metric spaces. The results are based on the α-φ-Geraghty type contraction and the fixed point theory.
Salim Krim +3 more
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Finite Difference Method for Solving Fractional Hyperbolic Partial Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper, the finite difference method is used to solve fractional hyperbolic partial differential equations, by modifying the associated explicit and implicit difference methods used to solve fractional partial differential equation.
G. J. Mohammed
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Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies
Advances in Difference Equations, 2018 In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak
Saïd Abbas +3 more
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THE EXISTENCE OF SOLUTIONS FOR A NONLOCAL PROBLEM OF AN IMPLICIT FRACTIONAL-ORDER DIFFERENTIAL EQUATION [PDF]
Journal of the Egyptian Mathematical Society, 2018 Dans cet article, nous discutons de l'existence d'au moins une solution intégrale et aussi de l'unicité pour une équation fonctionnelle implicite d'ordre fractionnaire avec la dérivée fractionnaire de Riemann-Liouville. L'existence sera démontrée au moyen du théorème du point xed de Schauder et du principe de contraction de Banach.
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Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations [PDF]
Complexity, 2018 We study the existence, uniqueness, and various kinds of Ulam–Hyers stability of the solutions to a nonlinear implicit type dynamical problem of impulsive fractional differential equations with nonlocal boundary conditions involving Caputo derivative. We develop conditions for uniqueness and existence by using the classical fixed point theorems such as
Naveed Ahmad +4 more
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