Existence of positive solutions for boundary value problems of fractional functional differential equations

This paper deals with the existence of positive solutions for a boundary value problem involving a nonlinear functional differential equation of fractional ordergiven by Du(t) + f(t,ut) = 0, t 2 (0,1), 2 < 3, u ' (0) = 0, u ' (1) = bu ' (), u0 = . Our results are based on the nonlinear alternative of Leray-Schauder type and Krasnosel'skii fixed point theorem.