On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability
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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9948143 |
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| author | Djamel Ouchenane Abdelbaki Choucha Mohamed Abdalla Salah Mahmoud Boulaaras Bahri Belkacem Cherif |
| author_facet | Djamel Ouchenane Abdelbaki Choucha Mohamed Abdalla Salah Mahmoud Boulaaras Bahri Belkacem Cherif |
| author_sort | Djamel Ouchenane |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d80c4dff0e8a40a1b8bb4fc711d68f9d |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d80c4dff0e8a40a1b8bb4fc711d68f9d2025-08-20T03:23:52ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99481439948143On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and StabilityDjamel Ouchenane0Abdelbaki Choucha1Mohamed Abdalla2Salah Mahmoud Boulaaras3Bahri Belkacem Cherif4Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, AlgeriaDepartment of Mathematics, University of El Oued, Box 789, El Oued 39000, AlgeriaMathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Al-Rass, Saudi ArabiaThe 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.http://dx.doi.org/10.1155/2021/9948143 |
| spellingShingle | Djamel Ouchenane Abdelbaki Choucha Mohamed Abdalla Salah Mahmoud Boulaaras Bahri Belkacem Cherif On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability Journal of Function Spaces |
| title | On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability |
| title_full | On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability |
| title_fullStr | On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability |
| title_full_unstemmed | On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability |
| title_short | On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability |
| title_sort | on the porous elastic system with thermoelasticity of type iii and distributed delay well posedness and stability |
| url | http://dx.doi.org/10.1155/2021/9948143 |
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