Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval

Abstract

In this paper, we consider a class of nonlinear fractional differential equations on the infinite interval (Formula presented) with the integral boundary conditions (Formula presented) By using Krasnoselskii fixed point theorem, the existence results of positive solutions for the boundary value problem in three cases τ = 0, τ ∊ (0, + ∞) and are τ = + ∞, are obtained, respectively. We also give out two corollaries as applications of the existence theorems and some examples to illustrate our results.