Coupled system of fractional hemivariational inequalities with applications
Jianwei Hao, JinRong Wang, Liang Lu
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.
Topics & Concepts
MathematicsQuasistatic processFractional calculusInequalityApplied mathematicsMathematical analysisPhysicsQuantum mechanicsContact Mechanics and Variational InequalitiesBrake Systems and Friction AnalysisMechanical stress and fatigue analysis