Differential Inclusions of Fractional Order on Unbounded Domains with State-Dependent Delay

Abstract

In this paper we provide sufficient conditions for the existence of solutions of initial value problems (IVP for short), for partial hyperbolic differential inclusions of fractional order involving Caputo fractional derivative with state-dependent delay by using the nonlinear alternative of Frigon type for multivalued admissible contraction in Fréchet spaces.