On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability-Reference-Cited by-同舟云学术

On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability

Published:2021-04-01 Issue: Volume:2021 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ouchenane Djamel¹,Choucha Abdelbaki²,Abdalla Mohamed³⁴^ORCID,Boulaaras Salah Mahmoud⁵⁶^ORCID,Cherif Bahri Belkacem⁵⁷^ORCID

Affiliation:

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

2. Department of Mathematics, University of El Oued, Box 789, El Oued 39000, Algeria

3. Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia

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

5. Department of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi Arabia

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

7. Preparatory Institute for Engineering Studies, Sfax, Tunisia

Abstract

The paper deals with a one-dimensional porous-elastic system with thermoelasticity of type III and distributed delay term. This model is dealing with dynamics of engineering structures and nonclassical problems of mathematical physics. We establish the well posedness of the system, and by the energy method combined with Lyapunov functions, we discuss the stability of system for both cases of equal and nonequal speeds of wave propagation.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9948143.pdf

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