A nolinear fractional differential inclusion problem with special boundary condition

This article studies the existence of solutions for a three point inclusion problem with fractional differential order. Our main tools of study include a nonlinear alternative of Leray-Schauder type, selection theorem due to Bressan and Colombo for lower semicontinuous multivalued maps, and a fixed point theorem for multivalued map due to Covitz and Nadler. An illustrative example is also presented.