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Existence of a Generalized Solution for the Fractional Contact Problem

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Listed:
  • Leila Ait kaki
  • Nouria Arar
  • Mohammed S. Abdo
  • M. Daher Albalwi
  • Chang Phang

Abstract

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.

Suggested Citation

  • Leila Ait kaki & Nouria Arar & Mohammed S. Abdo & M. Daher Albalwi & Chang Phang, 2023. "Existence of a Generalized Solution for the Fractional Contact Problem," Journal of Mathematics, Hindawi, vol. 2023, pages 1-12, January.
    • Handle: RePEc:hin:jjmath:8316373
    DOI: 10.1155/2023/8316373
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