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Matematicheskie Zametki, 2023, Volume 113, Issue 1, paper published in the English version journal (Mi mzm13862)  
This article is cited in 2 scientific papers (total in 2 papers)

Papers published in the English version of the journal

Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time

F. Meslouba, A. Meraha, S. Boulaarasb

a Laboratory of Mathematics, Informatics, and Systems, Larbi Tebessi University, Tebessa, 12002 Algeria
b Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, 51921 Saudi Arabia
Citations (2)
Abstract: We reformulate the fourth-order equation of the Moore–Gibson–Thompson (MGT) type to a fractional semilinear fourth-order equation with structural damping and a time-nonlocal nonlinearity. The solution blow-up for this problem is established by the test function method. First, we recall some definitions and elementary properties of the fractional derivatives, and then we study the absence of global weak solutions.
Keywords: prime number, arithmetic progression, fractional part, Bombieri–Vinogradov theorem, exponential sum.
Received: 03.02.2022
Revised: 18.05.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 1, Pages 72–79
DOI: https://doi.org/10.1134/S000143462301008X
Bibliographic databases:
Document Type: Article
Language: English
Citation: F. Mesloub, A. Merah, S. Boulaaras, “Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time”, Math. Notes, 113:1 (2023), 72–79
Citation in format AMSBIB
\Bibitem{MesMerBou23}
\by F.~Mesloub, A.~Merah, S.~Boulaaras
\paper Solution Blow-Up for a Fractional Fourth-Order Equation
of Moore--Gibson--Thompson Type with Nonlinearity
Nonlocal in Time
\jour Math. Notes
\yr 2023
\vol 113
\issue 1
\pages 72--79
\mathnet{http://mi.mathnet.ru/mzm13862}
\crossref{https://doi.org/10.1134/S000143462301008X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4565277}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149963290}
Linking options:
  • https://www.mathnet.ru/eng/mzm13862
    • This publication is cited in the following 2 articles:
    1. Flank D. M. Bezerra, Lucas A. Santos, Maria J. M. Silva, Carlos R. Takaessu, “A note on the spectral analysis of some fourth-order differential equations with a semigroup approach”, Results Math, 78:6 (2023)  crossref  zmath
    2. Husam Alfadil, Ahmed E. Abouelregal, Marin Marin, Erasmo Carrera, “Goufo-caputo fractional viscoelastic photothermal model of an unbounded semiconductor material with a cylindrical cavity”, Mechanics of Advanced Materials and Structures, 2023, 1  crossref  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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