Mathematical Analysis Of Thermo-Elasto-Viscoplastic Contact Problems With Time-Fractional Derivatives / Ibrahim Khelfaoui  

Public ISBD Titre : Mathematical Analysis Of Thermo-Elasto-Viscoplastic Contact Problems With Time-Fractional Derivatives Type de document : document électronique Auteurs : Ibrahim Khelfaoui, Auteur ; Namira Lebri, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2026 Importance : 1 vol (45 f.) Format : 29 cm Note générale : Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Thermo-elastic-viscoplastic materials, Caputo fractional derivative, Evolutionary variational inequalities, Contact problems, Sobolev spaces Résumé : This thesis is devoted to the mathematical modeling of contact problems for thermo-elastic viscoplastic materials, with particular emphasis on the incorporation of Caputo fractional-order derivatives into their constitutive laws. The primary objective of this work is to establish the existence and uniqueness of weak solutions to these models, by means of Gronwall-type lemmas and results from nonlinear analysis. The thesis is structured in two parts: The first part recalls various contact mechanical model and presents the necessary mathematical tools. The second part focuses on the modeling and mathematical analysis of the considered contact problems. Côte titre : MAM/0862 En ligne : https://repository.univ-setif.dz/server/api/core/bitstreams/87c778cf-abe3-4708-9 [...] Mathematical Analysis Of Thermo-Elasto-Viscoplastic Contact Problems With Time-Fractional Derivatives [document électronique] / Ibrahim Khelfaoui, Auteur ; Namira Lebri, Directeur de thèse . - [S.l.] : Sétif:UFS, 2026 . - 1 vol (45 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Thermo-elastic-viscoplastic materials, Caputo fractional derivative, Evolutionary variational inequalities, Contact problems, Sobolev spaces Résumé : This thesis is devoted to the mathematical modeling of contact problems for thermo-elastic viscoplastic materials, with particular emphasis on the incorporation of Caputo fractional-order derivatives into their constitutive laws. The primary objective of this work is to establish the existence and uniqueness of weak solutions to these models, by means of Gronwall-type lemmas and results from nonlinear analysis. The thesis is structured in two parts: The first part recalls various contact mechanical model and presents the necessary mathematical tools. The second part focuses on the modeling and mathematical analysis of the considered contact problems. Côte titre : MAM/0862 En ligne : https://repository.univ-setif.dz/server/api/core/bitstreams/87c778cf-abe3-4708-9 [...]

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0862	MAM/0862	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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