General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term

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Published: Oct 30, 2021
DOI: https://doi.org/10.5556/j.tkjm.52.2021.3519
Keywords:
Porous system; General decay; Exponential Decay; Memory term; delay term; Relaxation function.

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Abdelbaki Choucha
Department of Mathematics, University of El Oued, B.P. 789, El Oued 39000, Algerie
https://orcid.org/0000-0002-0969-8519
Djamel Ouchenane
Laboratory of pure Mathematics and Applications, Laghouat, Algeria
https://orcid.org/0000-0002-0461-5956
Khaled Zennir
Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia

Abstract




As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.




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How to Cite
Choucha, A., Ouchenane, D., & Zennir, K. (2021). General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term. Tamkang Journal of Mathematics, 52(4), 479–495. https://doi.org/10.5556/j.tkjm.52.2021.3519
Issue
Vol. 52 No. 4 (2021)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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