@article{Ouaanabi2025, 
author = {Abdelhafid Ouaanabi and Mohammed Alaoui and Mustapha Bouallala and El Hassan Essoufi},
title = {Coupled time-fractional hemivariational inequalities in frictional thermo-viscoelastic contact problem},
year = {2025},
journal = {Mathematical Modelling and Control},
volume = {5},
number = {4},
pages = {400-409},
keywords = {thermo-viscoelastic materials, Caputo derivative, frictional contact problem, weak solvability, Clarke's subdifferential, hemivariational inequality},
url = {https://www.sciopen.com/article/10.3934/mmc.2025028},
doi = {10.3934/mmc.2025028},
abstract = {This study examines a quasistatic frictional contact problem involving a thermo-viscoelastic body interacting with a thermally conductive foundation. The constitutive behavior is described by a fractional Kelvin–Voigt model utilizing the Caputo derivative. Heat conduction is modeled through time-fractional displacement and temperature parameters. The contact, friction, and heat exchange are governed by Clarke's subdifferential boundary conditions. The problem is weakly formulated as a system of two coupled time-fractional hemivariational inequalities. The existence of solutions is established by reducing the system to a single time-fractional hemivariational inequality, leveraging recent advances in the theory of time-fractional hemivariational inequalities.}
}