On criteria of existence for nonlinear Katugampola fractional differential equations with p-Laplacian operator

Abstract

This paper is devoted to establishing vital criteria of existence and uniqueness for a class of nonlinear Katugampola fractional differential equations (KFDEs) with p -Laplacian operator subjecting to mixed boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Guo-Krasnosel’skii type fixed point principle and Banach contraction theorem. Additionally, several expressive examples are afforded to show the effectiveness of our theoretical results.