Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions

Abstract

We discuss the existence of solutions for a boundary value problem of Riemann-Liouville fractional differential inclusions of order α (2, 3 ] with integral boundary conditions. We establish our results by applying the standard tools of fixed point theory for multivalued maps when the right-hand side of the inclusion has convex as well as nonconvex values. An illustrative example is also presented. © 2013 Hamed H. Alsulami et al.