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

Zainouba Chebana; Taki-Eddine Oussaeif; Adel Ouannas; iqbal  Batiha

doi:10.55059/ijm.2022.1.1/4

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

Authors

Zainouba Chebana https://orcid.org/0000-0001-8749-6747
Taki-Eddine Oussaeif
Adel Ouannas
iqbal Batiha

DOI:

https://doi.org/10.55059/ijm.2022.1.1/4

Keywords:

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

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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Published

2022-01-14

How to Cite

Chebana , Z., Oussaeif , T.-E., Ouannas , A., & Batiha, iqbal. (2022). Solvability of Dirichlet Problem For a Fractional Partial Differential equation by using energy inequality and Faedo-Galerkin method. Innovative Journal of Mathematics (IJM), 1(1), 34–44. https://doi.org/10.55059/ijm.2022.1.1/4