The positive properties of Green’s function for three point boundary value problems of nonlinear fractional differential equations and its applications

In this paper, we consider the properties of Green’s function for the nonlinear fractional differential equation boundary value problem.D0+αu(t)+f(t,u(t))+e(t)=0,0

► We obtain a new properties of Green’s function for fractional differential equation.
► Our nonlinearity may singular and change sign.
► Using Schauder fixed-point theorem we obtain some multiple positive solutions to the problems.