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

Djamel Ouchenane; Abdelbaki Choucha; Mohamed Abdalla; Salah Mahmoud Boulaaras; Bahri Belkacem Cherif

doi:10.1155/2021/9948143

Journal of Function Spaces (Jan 2021)

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

Djamel Ouchenane,
Abdelbaki Choucha,
Mohamed Abdalla,
Salah Mahmoud Boulaaras,
Bahri Belkacem Cherif

Affiliations

Djamel Ouchenane: Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria
Abdelbaki Choucha: Department of Mathematics, University of El Oued, Box 789, El Oued 39000, Algeria
Mohamed Abdalla: Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia
Salah Mahmoud Boulaaras: Department of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi Arabia
Bahri Belkacem Cherif: Department of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi Arabia

DOI: https://doi.org/10.1155/2021/9948143
Journal volume & issue: Vol. 2021

Abstract

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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.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/jfs/

About the journal