Existence and controllability results for stochastic fractional evolution hemivariational inequalities

摘要

In this paper, we study a class of stochastic evolution hemivariational inequalities with fractional derivative. The existence of mild solutions and controllability results are obtained by applying fractional calculation, stochastic analysis techniques, a fixed point theorem of multivalued maps and properties of generalized Clarke subdifferential. An example is included to show the applicability of our results.