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The Galerkin Method for Fourth‐Order Equation of the Moore–Gibson–Thompson Type with Integral Condition

Author

Listed:
  • Ahlem Mesloub
  • Abderrahmane Zaraï
  • Fatiha Mesloub
  • Bahri-Belkacem Cherif
  • Mohamed Abdalla

Abstract

In this manuscript, we consider the fourth order of the Moore–Gibson–Thompson equation by using Galerkin’s method to prove the solvability of the given nonlocal problem.

Suggested Citation

  • Ahlem Mesloub & Abderrahmane Zaraï & Fatiha Mesloub & Bahri-Belkacem Cherif & Mohamed Abdalla, 2021. "The Galerkin Method for Fourth‐Order Equation of the Moore–Gibson–Thompson Type with Integral Condition," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5532691
    DOI: 10.1155/2021/5532691
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    References listed on IDEAS

    as
    1. Ravi P. Agarwal & Sadek Gala & Maria Alessandra Ragusa, 2020. "A Regularity Criterion in Weak Spaces to Boussinesq Equations," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
    2. Said Mesloub & Abdelfatah Bouziani, 2002. "Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator," International Journal of Stochastic Analysis, Hindawi, vol. 15, pages 1-10, January.
    3. Boulaaras, Salah & Haiour, Mohamed, 2015. "A new proof for the existence and uniqueness of the discrete evolutionary HJB equations," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 42-55.
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