Existence of multiple positive solutions for nonlinear three-point problem for Riemann-Liouville fractional differential equation

Abstract

In this paper, the existence of multiple positive solutions is considered for nonlinear three-point problem for Riemann-Liouville fractional differential equation. We use the Avery-Peterson fixed point theorem to acquire the existence of multiple positive solutions for the boundary value problem. Two examples are also presented to illustrate the effectiveness of the main result.