An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator?

摘要

This paper studies the existence of solutions for an anti-periodic boundary value problem for the fractional p-Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, a new existence result is obtained by using Schaefer's fixed point theorem. As an application, an example to illustrate our result is given.