Darboux problem for fractional partial hyperbolic di erential inclusions on unbounded domains with delay

Abstract

"In this paper we investigate the existence of solutions of initial value problems (IVP for short), for partial hyperbolic functional and neutral differential inclusions of fractional order involving Caputo fractional derivative with finite delay by using the nonlinear alternative of Frigon type for multivalued admissible contraction in Frechet spaces."