Existence and uniqueness of solutions for fractional boundary value problems with p-Laplacian operator

Abstract

Abstract In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Banach contraction mapping principle. Two examples are given to illustrate our theoretical results.

Keywords

• fractional boundary value problem
• p-Laplacian operator
• fixed point theorem