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

Abdelbaki Choucha; Asma Alharbi; Bahri Cherif; Rashid Jan; Salah Boulaaras; Abdelbaki Choucha; Asma Alharbi; Bahri Cherif; Rashid Jan; Salah Boulaaras

doi:10.3934/math.2023911

AIMS Mathematics

2023, Volume 8, Issue 8: 17890-17913. doi: 10.3934/math.2023911

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Research article

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

1.
Department of Material Sciences, Faculty of Sciences, Amar Teleji Laghouat University, Algeria
2.
Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia
3.
Department of Mathematics, University of Swabi, Swabi 23561, KPK Pakistan

Received: 12 February 2023 Revised: 04 April 2023 Accepted: 11 April 2023 Published: 24 May 2023
MSC : 35L55, 74D05, 93D15, 93D20

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.
- partial differential equations,
- mathematical operators,
- decay rate,
- Bresse system,
- Cattaneo's law,
- Fourier transform,
- distributed delay
Citation: Abdelbaki Choucha, Asma Alharbi, Bahri Cherif, Rashid Jan, Salah Boulaaras. Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay[J]. AIMS Mathematics, 2023, 8(8): 17890-17913. doi: 10.3934/math.2023911

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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.

References

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