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

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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