Positive solutions for nonlinear fractional differential equations with integral boundary value conditions

Abstract:

We studied the existence of positive solutions for nonlinear Caputo fractional differential equations with integral boundary value conditions. The existence results of positive solutions for the boundary value problems are obtained by applying the properties of Green function and Schauder fixed point theorem，which partly extend the corresponding results of fractional differential equations. Two examples are also presented to illustrate the applications of our main results.

Key words:Fractional differential equations;Integral boundary conditions;Positive solutions;fixed point theorem