Existence and Uniqueness Results for Fractional Hilfer Boundary Value Problem (BVP) with Nonlocal Boundary Conditions using Fixed Point Theory

Author(s)	Priti Bansal, Manjeet Singh
Country	India
Abstract	The work in this study focuses upon the qualitative analysis of the nonlinear boundary value problem (BVP) via Hilfer fractional derivative. This study demonstrates the qualitative results for the uniqueness and existence of a solution utilizing the concepts of fixed point theory comprising Banach, Schaefer, and Krasnoselskii’s fixed point theorem. Subsequently, the stability of the solution of the amused differential equations is proposed via the theory of Ulam Hyers (UH) stability which adds significance to the quality of the findings. In order to demonstrate the application and validation of the derived results some numerical examples are also provided.
Keywords	Hilfer fractional derivative; Nonlocal boundary conditions; Existence and Uniqueness; UH stability.
Field	Mathematics
Published In	Volume 6, Issue 3, May-June 2024
Published On	2024-06-25

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