Existence of a Generalized Solution for the Fractional Contact Problem

Autor: Leila Ait kaki, Nouria Arar, Mohammed S. Abdo, M. Daher Albalwi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Mathematics, Vol 2023 (2023)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2023/8316373
Popis: In this paper, we take into consideration the mathematical analysis of time-dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation. It is assumed that the constitutive law is fractional long-memory viscoelastic. The contact is considered to be bilateral and is modeled around Tresca’s law. We establish the existence of the generalized solution’s result. The proof is supported by the surjectivity of the multivalued maximum monotone operator, Rothe’s semidiscretization method, and arguments for evolutionary variational inequality.
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