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

Zakaria Faiz; Hicham  Benaissa; Othmane Baiz; Driss El Moutawkil

doi:10.5269/bspm.68107

Zakaria Faiz faiz
Hicham Benaissa
Othmane Baiz
Driss El Moutawkil

Resumen

The aim of this work is to study a class of fractional differential history-dependent hemivariational inequalities and to provide an example of application in thermo-viscoelasticity. Using the Rothe method and the subjectivity property of multivalued pseudomonotone operators, we first prove existence of a solution. The proof is based on a fixed point argument and a recent finding from hemivariational inequalities theory. Then, we apply the obtained abstract results to a nonlinear thermo-viscoelastic contact problem with a historydependent with fractional time Kelvin-Voiget constitution law and adhesion.

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