On Existence of Solution for Higher-order Fractional Differential Inclusions with Anti-periodic Type Boundary Conditions

This paper investigates the existence of solutions for fractional differential inclusions of order q ∈ (4, 5) with anti-periodic type boundary conditions by means of some standard fixed point theorems for inclusions. The existence results are established for convex as well as the nonconvex multivalued maps. Some illustrative examples are introduced to explain the applicability of the theory.