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.

On weak solution of a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term

In this paper, a hyperbolic differential inclusion with nonmonotone discontinuous and nonlinear term, which the generalized velocity acts as its variable, is studied and the existence and decay of its weak solution are obtained.