p-Laplacian operator for a new classe of Ψ-Caputo fractional differential equation

Abstract

This paper investigates the existence result for a new class of Ψ-Caputo-type fractional differential equation involving the p-Laplacian operator. By making use of some basic proprieties of fractional calculus and the p-Laplacian operator and by applying Schaefer’s fixed point theorem we established the existence result. As application, we give an example to demonstrate our theoretical result.