Stability analysis for the psi-Hilfer non-linear boundary value problem

Abstract

In this paper, we establish the existence and stability of the solution for a Non-linear Fractional Boundary Value Problem(BVP). The existence is shown by Leray-Schauder’s Non-linear Alternative under a special working space. Also, the Ulam-Hyers(UH) Stability of the solution is analyzed. To illustrate our findings, an example is presented.