In this paper, we consider a class of boundary value problems (BVPs) in a separable Banach space E, which is a fractional differential inclusion associated with multipoint bounday conditions, of the form whereis the Riemann-Liouville fractional derivative operator of orderF is a closed valued multifuction. With some certain suitable conditions we prove that the set of the solutions to the problem is nonempty and is a retract in space Keywords fractional differential inclusion, boundary value problem, Green’s function, contractive set valued-map, retract.