{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T11:19:28Z","timestamp":1767093568333,"version":"3.32.0"},"reference-count":35,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The objective of this study is to analyze a quasistatic frictional contact problem involving the interaction between a thermo-viscoelastic body and a thermally conductive foundation. The constitutive relation in our investigation is constructed using a fractional Kelvin\u2013Voigt model to describe displacement behavior. Additionally, the heat conduction aspect is governed by a time-fractional derivative parameter that is associated with temperature. The contact is modeled using the Signorini condition, which is a version of Coulomb\u2019s law for dry friction. We develop a variational formulation for the problem and establish the existence of its weak solution using a combination of techniques, including the theory of monotone operators, Caputo derivative, Galerkin method, and the Banach fixed point theorem. To demonstrate the effectiveness of our approach, we include several numerical simulations that showcase the performance of the method.<\/jats:p>","DOI":"10.1515\/cmam-2023-0192","type":"journal-article","created":{"date-parts":[[2024,3,25]],"date-time":"2024-03-25T19:11:07Z","timestamp":1711393867000},"page":"61-76","source":"Crossref","is-referenced-by-count":3,"title":["Analysis and Numerical Simulation of Time-Fractional Derivative Contact Problem with Friction in Thermo-Viscoelasticity"],"prefix":"10.1515","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0946-8841","authenticated-orcid":false,"given":"Mustapha","family":"Bouallala","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science , Modeling and Combinatorics Laboratory, Polydisciplinary Faculty , 107911 Cadi Ayyad University , B.\u2009P. 4162 , Safi ; and Laboratory Mathematics, Computer Science and Engineering Sciences, Faculty of Science and Technology, Hassan 1st University Settat, (MISI), 26000 Settat , Morocco"}]},{"given":"EL-Hassan","family":"Essoufi","sequence":"additional","affiliation":[{"name":"Laboratory Mathematics, Computer Science and Engineering Sciences , Faculty of Science and Technology , 509594 Hassan 1st University Settat , (MISI), 26000 Settat , Morocco"}]},{"given":"Youssef","family":"Ouafik","sequence":"additional","affiliation":[{"name":"National School of Applied Sciences of Safi , 107911 Cadi Ayyad University , Safi , Morocco"}]}],"member":"374","published-online":{"date-parts":[[2024,3,26]]},"reference":[{"key":"2025010318340342064_j_cmam-2023-0192_ref_001","doi-asserted-by":"crossref","unstructured":"M.  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