Nonlocal Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Hadamard Fractional Integral Boundary Conditions

Abstract

In this paper we study a new class of boundary value problemsconsisting of a fractional differential inclusion of Riemann-Liouville typeand Hadamard fractional integral conditions. Some new existence results forconvex as well as non-convex multivalued maps are obtained by using standardfixed point theorems. Some illustrative examples are also presented.