ABSTRACT
The aim of the paper is to study a coupled system which consists of a fractional differential hemivariational inequality (FDHVI, for short) combined with a fractional hemivariational inequality (FHVI, for short). By utilizing Rothe method and surjectivity result, the existence of coupled system is established. In addition, we apply the results to a new quasistatic contact problem, in which the constitutive equations are described by the fractional Kelvin-Voigt laws.
Acknowledgments
The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from the editor too.
Disclosure statement
No potential conflict of interest was reported by the authors.