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Research Article | Open Access

Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay

Abdelbaki Choucha1, Asma Alharbi2, Bahri Cherif2, Rashid Jan3, Salah Boulaaras2( )
Department of Material Sciences, Faculty of Sciences, Amar Teleji Laghouat University, Algeria
Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia
Department of Mathematics, University of Swabi, Swabi 23561, KPK Pakistan
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Abstract

This study examines the pace at which solutions to a Bresse system in combination with the Cattaneo law of heat conduction and the dispersed delay term degradation. We establish our major finding utilizing the energy approach in the Fourier space.

Keywords

partial differential equationsmathematical operatorsdecay rateBresse systemCattaneo's lawFourier transformdistributed delay
CLC number: 35L55, 74D05, 93D15, 93D20

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 17890-17913
DOI: 10.3934/math.2023911

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Cite this article:
Choucha A, Alharbi A, Cherif B, et al. Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay. AIMS Mathematics, 2023, 8(8): 17890-17913. https://doi.org/10.3934/math.2023911

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Received: 12 February 2023
Revised: 04 April 2023
Accepted: 11 April 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)