Fractional order differential inclusions on an unbounded domain with infinite delay

We provide sufficient conditions for the existence of solutions to initial value problems, for partial hyperbolic differential inclusions of fractional order involving Caputo fractional derivative with infinite delay by applying the nonlinear alternative of Frigon type for multivalued admissible contraction in Frechet spaces.

APPROXIMATION OF HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER WITH IMPULSES

In this paper there are considered hyperbolic differential inclusions of fractional order with impulses. Here we represent the concept of approximate solution (δ-solution) for a hyperbolic differential inclusion of fractional order with impulses. The asymptotic properties of solutions sets to approximating differential inclusions of fractional order with external disturbance are derived.

Impulsive partial hyperbolic differential inclusions of fractional order

In this paper we investigate the existence of solutions of a class of partial impulsive hyperbolic differential inclusions involving the Caputo fractional derivative. Our main tools are appropriate fixed point theorems from multivalued analysis.