The Positive Properties of Green’s Function for Fractional Differential Equations and Its Applications

الملخص EN

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

Here our nonlinearity f may be singular at u=0.

As applications of Green’s function, we give some multiple positive solutions for singular boundary value problems by means of Schauder fixed-point theorem.