Three nonnegative solutions for fractional differential equations with integral boundary conditions

In this paper, we study multiple nonnegative solutions for the fractional differential equation with integral boundary conditions {CDαx(t)+f(t,x(t))=0,t∈(0,1),x(0)=∫01g0(s)x(s)ds,x(1)=∫01g1(s)x(s)ds,x(k)(0)=∫01gk(s)x(s)ds,k=2,3,…,[α]. By means of Leggett–Williams fixed point theorem, some new results on the existence of at least three nonnegative solutions are obtained.