A class of fractional differential history-dependent hemivariational inequalities with application to thermo-viscoleastic

faiz benaissa baiz el moutawakil

Abstract

The aim of this work is to study a class of fractional differential history-dependent hemivariational inequalities. By using the Rothe method and exploiting the subjectivity of multivalued pseudomonotone operators to prove existence of a solution. The proof is based on a fixed point argument and a recent finding from hemivariational inequality theory. We apply the above result in the problem that we study the contact problem for a nonlinear thermo-viscoelastic body to the history-dependent with fractional time Kelvin-Voiget constitution law and adhesion.