Existence of solution for integral boundary value problems of fractional differential equations

Abstract In this paper, we discuss the existence of positive solutions of fractional differential equations on the infinite interval (0,+∞) $(0,+\infty)$. The positive solution of fractional differential equations is gained by using the properties of the Green’s function, Leray–Schauder’s fixed point theorems, and Guo–Krasnosel’skii’s fixed point theorem. As an application, two examples are given to prove our conclusions