Fractional order semilinear mixed type functional differential equations and inclusions

Abstract

In this paper we obtain existence results for semilinear functional differential equations and inclusions of fractional order with both retarded and advanced arguments. A variety of fixed point theorems, such as the Banach fixed point theorem, the nonlinear alternative of Leray-Schauder type and Covitz and Nadler’s fixed point theorem, are used in carrying out our proofs.