Positive solution for a fractional singular boundary value problem with p-Laplacian operator

Abstract

In this paper, we consider a fractional singular three-point boundary value problem with p-Laplacian operator. The nonlinearity $f(t,u)$ may be singular at $t = 0,1$ and $u = 0$ . Some properties of the associated Green function are obtained. By using the upper and lower solutions method and a fixed point theorem, the existence result of positive solution is established.