Asymptotically periodic solutions for fractional differential variational inequalities

Abstract

In this work, we consider a general model of fractional differential variational inequalities formulated by a fractional differential inclusion and a general variational inequality. The existence of mild solutions on a half-line is proved. Furthermore, we study establish the sufficient conditions ensuring the existence and uniqueness of asymptotically periodic solutions based on theory of semigroup and some fixed point arguments. Finally, examples are given to illustrate our theoretical results.