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 M. Batiha
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.
Topics & Concepts
MathematicsUniquenessPartial differential equationDirichlet boundary conditionMathematical analysisBoundary value problemA priori and a posterioriClass (philosophy)Applied mathematicsDirichlet distributionComputer sciencePhilosophyArtificial intelligenceEpistemologyDifferential Equations and Boundary ProblemsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations