Abstract
In this paper, we consider fractional differential hemivariational
inequalities (FDHVIs, for short) in the framework of Banach spaces. The
aim of this paper is three folds. The first one is to investigate the
existence of mild solutions for FDHVIs and by means of a fixed point
technique we are able to avoid the hypothesis of compactness on the
semigroup. The second aim is to study the existence of decay mild
solutions for FDHVI via giving asymptotic behavior of Mittag-Leffler
function. Finally, a mathematical model is provided to illustrate our
abstract results.