A time-fractional of a viscoelastic frictionless contact problem with normal compliance

Abstract: In this paper, we propose a new model of dynamic frictionless contact problem between a vis-
coelastic body and a rigid foundation. The constitutive relation is modeled with the fractional Kelvin-Voight
law. The contact is described with the normal compliance condition. We derive a weak formulation, and
we prove the existence of its weak solution. The proofs are based on the abstract of monotone operator,
Caputo derivative, Galerkin method and Banach fixed point theorem.

https://doi.org/10.1140/epjs/s11734-023-00962-x 10.1140/epjs/s11734-023-00962-x