Stability and controllability results for Caputo-type fractional differential hemivariational inequalities with three-parameter perturbations

Аннотация

The aim of this paper is to investigate a perturbed differential system on real Banach spaces that consists of a Caputo-type fractional order evolution equation and a time-dependent constrained hemivariational inequality. We begin by proving the stability result for the mild solution set mapping of the differential system, where the mapping in the evolution equation, as well as both the mappings and the constraint set in the hemivariational inequality are perturbed by different parameters. Additionally, we explore an existence result for an optimal control problem governed by the fractional differential hemivariational inequality with three-parameter perturbations.