Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 39
A Class of Fractional Differential History-Dependent Hemivariational Inequalities With Application To Thermo-Viscoleastic
Zakaria Faiz, Othamne Baiz, Hicham Benaissa, Driss El Moutawakil
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
December 16, 2021
March 03, 2048
April 15, 2048

Abstract: The aim of this work is to study a class of fractional differential history-dependent hemivariational inequalities. By using the Rothe method and exploiting the surjectivity of multivalued pseudomonotone operators to prove existence of solution. We apply the above result in the problem we investigate the contact problem for a nonlinear thermo-viscoelastic body to history-dependent with time fractional Kelvin-Voiget constitutive law and adhesion. This describing the both viscolastic and thermal effects wich is important in the sense of mathematical. Here the contact is presented in the form ...