مشخصات پژوهش

In this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for the nonlinear fractional differential equation boundaryvalue problem Dαu(t)=f (t, u(t)) with a Riemann– Liouville fractional derivative via the different boundary-value problems u(0)=u(T), and the threepoint boundary condition u(0)=β1u(η) and u(T)= β2u(η), where T >0, t ∈ I =[0, T], 0<α<1, 0<η