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Solvability of Dirichlet Problem For a Fractional Partial Differential equation by using energy inequality and Faedo-Galerkin method

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Title: Solvability of Dirichlet Problem For a Fractional Partial Differential equation by using energy inequality and Faedo-Galerkin method

Authors: Zainouba Chebana , Taki-Eddine Oussaeif , Adel Ouannas , iqbal Batiha

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 1

Language: en

DOI: 10.55059/ijm.2022.1.1/4

Keywords: Fractional partial differential equation;Energy inequality;Faedo-Galerkin method;Existence;Uniqueness;

Categories
Existence and Uniqueness (3) Mesh Repair (18) Solvability (1) Medicine (22336) Partial Differential Equations (47) Mathematics (5170) Fractional Calculus (72) Hernia (26) Pathology (12652) Surgery (16580)

Abstract

In this paper, we establish sufficient conditions for the existence and uniqueness of the solution for a class of initial-boundary value problems with Dirichlet condition for a class of fractional partial differential equations. The results are established by a method based on a priori estimate "energy inequality" and the Faedo-Galerkin method.

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