Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities

Abstract

In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation. The existence of a mild solution for conformable impulsive hemivariational inequality is obtained by the Rothe method, subjectivity of multivalued pseudomonotone operators and the property of the conformable derivative. Notice that we imply some new fractional viscoelastic constitutive laws.

Keywords

• conformable impulsive differential equation
• conformable hemivariational inequality
• conformable frictionless contact problem
• Rothe method