On initial and boundary value problems for fractional order mixed type functional differential inclusions
In this paper we prove some existence results for initial and boundary value problems for functional differential inclusions of fractional order with both retarded and advanced arguments. The Banach fixed point theorem, the nonlinear alternative of the LeraySchauder type and the CovitzNadler fixed point theorem are the main tools in deriving our proofs.
boundary value problems functional differential inclusions existence advanced argument initial value problems fractional derivatives retarded argument