Positive solutions to nonlinear fractional differential equations involving Stieltjes integrals conditions

In this paper, we consider the existence of positive solutions for a class of nonlinear fractional semipositone differential equations involving integral boundary conditions. Some existence results of positive solutions are obtained by means of Leray- Schauder’s alternative and Krasnoselskii’s fixed point theorem. An example is given to demonstrate the application of our main results.