Existence of solutions for a nonlinear fractional p-Laplacian boundary value problem

Abstract

The main objective of this paper is to prove the existence of solutions for a fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional derivatives. The proofs are based on the upper and lower solutions method and Schauder’s fixed point theorem. The paper is ended by a numerical example.