Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. The general decay result is establishe...

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Main Authors: Abdelbaki Choucha, Salah Mahmoud Boulaaras, Djamel Ouchenane, Bahri Belkacem Cherif, Mohamed Abdalla
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5581634
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spelling doaj-f5afe3afba9b4c0aac34d5f391e9ea272021-03-08T02:00:58ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5581634Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay TermAbdelbaki Choucha0Salah Mahmoud Boulaaras1Djamel Ouchenane2Bahri Belkacem Cherif3Mohamed Abdalla4Laboratory of Operator Theory and PDEs: Foundations and ApplicationsDepartment of MathematicsLaboratory of Pure and Applied MathematicsPreparatory Institute for Engineering Studies in SfaxMathematics DepartmentIn this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. The general decay result is established by the multiplier method.http://dx.doi.org/10.1155/2021/5581634
collection DOAJ
language English
format Article
sources DOAJ
author Abdelbaki Choucha
Salah Mahmoud Boulaaras
Djamel Ouchenane
Bahri Belkacem Cherif
Mohamed Abdalla
spellingShingle Abdelbaki Choucha
Salah Mahmoud Boulaaras
Djamel Ouchenane
Bahri Belkacem Cherif
Mohamed Abdalla
Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
Journal of Function Spaces
author_facet Abdelbaki Choucha
Salah Mahmoud Boulaaras
Djamel Ouchenane
Bahri Belkacem Cherif
Mohamed Abdalla
author_sort Abdelbaki Choucha
title Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
title_short Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
title_full Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
title_fullStr Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
title_full_unstemmed Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term
title_sort exponential stability of swelling porous elastic with a viscoelastic damping and distributed delay term
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. The general decay result is established by the multiplier method.
url http://dx.doi.org/10.1155/2021/5581634
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AT salahmahmoudboulaaras exponentialstabilityofswellingporouselasticwithaviscoelasticdampinganddistributeddelayterm
AT djamelouchenane exponentialstabilityofswellingporouselasticwithaviscoelasticdampinganddistributeddelayterm
AT bahribelkacemcherif exponentialstabilityofswellingporouselasticwithaviscoelasticdampinganddistributeddelayterm
AT mohamedabdalla exponentialstabilityofswellingporouselasticwithaviscoelasticdampinganddistributeddelayterm
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