Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term-Reference-Cited by-同舟云学术

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

Published:2021-02-28 Issue: Volume:2021 Page:1-8
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Choucha Abdelbaki¹,Boulaaras Salah Mahmoud²³^ORCID,Ouchenane Djamel⁴,Cherif Bahri Belkacem⁵^ORCID,Abdalla Mohamed⁶⁷

Affiliation:

1. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, B.P. 789, El Oued 39000, Algeria

2. Department of Mathematics, College of Sciences and Arts, Ar Rass, Qassim University, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

4. Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria

5. Preparatory Institute for Engineering Studies in Sfax, Tunisia

6. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

7. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

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.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5581634.pdf

Reference27 articles.

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