On fractional differential inclusions with anti-periodic type integral boundary conditions

Abstract

This paper investigates the existence of solutions for fractional differential inclusions of order q ∈ (2, 3] with anti-periodic type integral boundary conditions by means of some standard fixed point theorems for inclusions. Our results include the cases when the multivalued map involved in the problem has convex as well as non-convex values. The paper concludes with an illustrative example. © 2013 Ahmad et al.