On the approximate controllability for some impulsive fractional evolution hemivariational inequalities

Abstract

In this paper, we study the approximate controllability for some impulsive fractional evolution hemivariational inequalities. We show the concept of mild solutions for these problems. The approximate controllability results are formulated and proved by utilizing fractional calculus, fixed points theorem of multivalued maps and properties of generalized Clarke subgradient under some certain conditions.

Keywords

• Approximate controllability| hemivariational inequalities| fractional di erential| mild solutions| generalized Clarke subdi erential