Decay rate of the solutions to the Bresse-Cattaneo system with distributed delay-Reference-Cited by-同舟云学术

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

Published:2023 Issue:8 Volume:8 Page:17890-17913
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Choucha Abdelbaki¹,Alharbi Asma²,Cherif Bahri²,Jan Rashid³,Boulaaras Salah²

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference16 articles.

1. M. Afilal, B. Feng, A. Soufyane, New decay rates for Cauchy problem of Timoshenko thermoelastic systems with past history: Cattaneo and Fourier law, Math. Methods Appl. Sci., 44 (2021), 11873–11894. https://doi.org/10.1002/mma.6579

2. P. R. Agarwal, Q. Bazighifan, M. A. Ragusa, Nonlinear neutral delay differential equations of fourth-order: oscillation of solutions, Entropy, 23 (2021), 129. https://doi.org/10.3390/e23020129

3. H. Bounadja, B. Said-Houari, Decay rates for the Moore-Gibson-Thompson equation with memory, Evol. Equ. Control Theory., 10 (2021), 431–460.

4. S. Boulaaras, A. Choucha, A. Scapellato, General decay of the Moore-Gibson-Thompson equation with viscoelastic memory of Type II, J. Funct. Spaces, 2022 (2022), 9015775. https://doi.org/10.1155/2022/9015775

5. A. Choucha, S. Boulaaras, D. Ouchenane, Exponential decay and global existence Of solutions of a singular nonlocal viscoelastic system with distributed delay and damping terms, Filomat, 35 (2021), 795–826.

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