Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator

Abstract

In this article, we discuss the existence of a unique solution to a ψ\psi -Hilfer fractional differential equation involving the pp-Laplacian operator subject to nonlocal ψ\psi -Riemann-Liouville fractional integral boundary conditions. Banach’s fixed point theorem is the main tool of our study. Examples are given for illustrating the obtained results.

Keywords

• ψ-hilfer fractional derivative
• the p-laplacian operator
• existence
• fixed point
• 34a08
• 34b10
• 34b15