The positive solutions of fractional differential equation with Riemann-Stieltjes integral boundary conditions

Abstract

In this paper, we study a class of fractional differential equations with Riemann-Stieltjes integral boundary conditions. The existence and uniqueness of positive solutions for the boundary value problem are obtained via the use of fixed point theorems on cones in partially ordered Banach spaces. Many of the multi-point and integral boundary value problems studied previously studied are also included in our results.