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Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order

Open Mathematics, 2012
Klimek Małgorzata, Błasik Marek
doaj   +1 more source

On the nonlocal Cauchy problem for semilinear fractional order evolution equations

Open Mathematics, 2014
Wang JinRong, Zhou Yong, Fečkan Michal
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Existence Result to a Kirchhoff ψ-Hilfer Fractional Equations with p-Laplacian Operator Via Nehari Method

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
The goal of this work is to prove the existence of multiple solutions of the following Kirchhoff equation with $\psi$-Hilfer fractional derivative involving p-Laplacian operator, given by $(P) \begin{cases}\left(a+\left.\left.b \int_0^T\right|_0 D_t ...
S. Horrigue, M. Alsulami, Bayan Abduallah Alsaeedi   +2 more
semanticscholar   +1 more source

An Efficient Reproducing Kernel Method for Solving Fractional Electro-hydrodynamic Flow Differential Equation

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
this paper aims to find an approximate numerical solution to the singular nonlinear boundary value problem (BVP) with conformable fractional derivative by using Reproducing kernel method (RKM). The problem contains singularity and strong nonlinear terms;
Banan Maayah, Sana Abu-ghurra
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An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method

Journal of Computational Mathematics, 2022
A combined scheme of the improved two-grid technique with the block-centered finite difference method is constructed and analyzed to solve the nonlinear time-fractional parabolic equation.
Xiaoli Li, Yanping Chen null, Chuanjun Chen   +2 more
semanticscholar   +1 more source