Abdelhak Djebabla
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Abdelhak Djebabla has a total of 36 co-authors. Here are the top co-authors by number of shared publications:
- Nasser-Eddine Tatar
Department of Mathematics King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia
4 shared publications - Madani Douib
Department of Mathematics, Higher College of Teachers (ENS) of Laghouat, Algeria
3 shared publications - Salah Zitouni
Laboratory of Informatics and Mathematics, Department of Mathematics, University of Souk-Ahras, Souk-Ahras, Algeria
3 shared publications - Hanni Dridi
Laboratory of Applied Mathematics, University of Badji Mokhtar, Annaba, Algeria
2 shared publications Houssem Eddine Khochemane
Ecole normale supérieure d'enseignement technologique Azzaba-Skikda, Algeria
2 shared publicationsLamine Bouzettouta
University 20 August 1955 5 , BP 26, Route d’El Hadaiek, Skikda 21000, Algeria
2 shared publications
Latest Publications
- 4 August 2025
- Published by Taylor & Francis in Journal of Thermal Stresses
- Vol. 48 (9) , 1153-1169
Exponential stability of carbon nanotubes model with thermoelasticity of Coleman–Gurtin’s type
- 4 August 2025
- Published by Taylor & Francis in Journal of Thermal Stresses
- Vol. 48 (9) , 1153-1169
Exponential stability of carbon nanotubes model with thermoelasticity of Coleman–Gurtin’s type
- 18 April 2025
- Published by Springer Nature in Afrika Matematika
- Vol. 36 (2) , 1-17
Stabilization of Lord Shulman Porous thermoelastic system from second spectrum viewpoint
- 18 April 2025
- Published by Springer Nature in Afrika Matematika
- Vol. 36 (2) , 1-17
Stabilization of Lord Shulman Porous thermoelastic system from second spectrum viewpoint
- 2 July 2024
- Published by Institute of Mathematics, Czech Academy of Sciences
- Vol. 150 (1) , 109-138
Global well-posedness and energy decay for a one dimensional porous-elastic system subject to a neutral delay
Institute of Mathematics of the Czech Academy of Sciences
- 2 July 2024
- Published by Institute of Mathematics, Czech Academy of Sciences
- Vol. 150 (1) , 109-138
Global well-posedness and energy decay for a one dimensional porous-elastic system subject to a neutral delay
Institute of Mathematics of the Czech Academy of Sciences
- 6 June 2024
- Published by Elsevier in Computers & Mathematics with Applications
- Vol. 168, 58-83
Exponential stability of Timoshenko beams with three-phase-lag thermoelasticity
- 6 June 2024
- Published by Elsevier in Computers & Mathematics with Applications
- Vol. 168, 58-83
Exponential stability of Timoshenko beams with three-phase-lag thermoelasticity
- 4 March 2024
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 47 (10) , 8171-8186
Well posedness and stability result of Lord–Shulman system with microtemperature effects: The case ξμ∗=μ02
In this study, we investigate the Lord–Shulman porous elastic system with dissipation caused by the microtemperature effects. Here, the thermal conduction has a single-phase-lag that acts as a relaxation time and the energy associated with the solution is not required to be positive definite . We introduce a stability number and prove using the multiplier technique that the exponential decay of the system is valid if . Otherwise, we show that the system decays polynomially.- 4 March 2024
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 47 (10) , 8171-8186
Well posedness and stability result of Lord–Shulman system with microtemperature effects: The case ξμ∗=μ02
In this study, we investigate the Lord–Shulman porous elastic system with dissipation caused by the microtemperature effects. Here, the thermal conduction has a single-phase-lag that acts as a relaxation time and the energy associated with the solution is not required to be positive definite . We introduce a stability number and prove using the multiplier technique that the exponential decay of the system is valid if . Otherwise, we show that the system decays polynomially.- Open Access
- 1 January 2024
- Published by National Library of Serbia in Filomat
- Vol. 38 (9) , 3055-3067
Well-posedness and stability result for a swelling porous elastic system with neutral delay and porous damping
This study takes into account a one-dimensional swelling porous elastic system with neutral delay and porous damping acting on the second equation. We verify the existence and uniqueness of the solution using Faedo-Galerkin approach, and we prove that the porous damping dissipation is powerful enough to stabilize the system exponentially even in the presence of neutral delay using the multiplier method.
- 1 January 2024
- Published by National Library of Serbia in Filomat
- Vol. 38 (9) , 3055-3067
Open AccessWell-posedness and stability result for a swelling porous elastic system with neutral delay and porous damping
This study takes into account a one-dimensional swelling porous elastic system with neutral delay and porous damping acting on the second equation. We verify the existence and uniqueness of the solution using Faedo-Galerkin approach, and we prove that the porous damping dissipation is powerful enough to stabilize the system exponentially even in the presence of neutral delay using the multiplier method.
- 25 June 2023
- Published by National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications) in Zurnal matematiceskoj fiziki, analiza, geometrii
- Vol. 19 (3) , 587-602
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay
У статтi дослiджується коректнiсть та асимптотика розв’язкiв для гнучкої структури з ефектами термодифузiї та розподiленого загаювання. За вiдповiдних припущень щодо ваги демпфування та ваги розподiленого загаювання, доведено iснування i єдинiсть розв’язку з використанням теорiї пiвгруп. Далi за допомогою методу збуреної енергiї та побудови деяких функцiоналiв Ляпунова доведено експоненцiальну спаднiсть розв’язку. Mathematical Subject Classification 2020: 37C75, 93D05.
- 25 June 2023
- Published by National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications) in Zurnal matematiceskoj fiziki, analiza, geometrii
- Vol. 19 (3) , 587-602
Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay
У статтi дослiджується коректнiсть та асимптотика розв’язкiв для гнучкої структури з ефектами термодифузiї та розподiленого загаювання. За вiдповiдних припущень щодо ваги демпфування та ваги розподiленого загаювання, доведено iснування i єдинiсть розв’язку з використанням теорiї пiвгруп. Далi за допомогою методу збуреної енергiї та побудови деяких функцiоналiв Ляпунова доведено експоненцiальну спаднiсть розв’язку. Mathematical Subject Classification 2020: 37C75, 93D05.
- Open Access
- 1 January 2023
- Published by National Library of Serbia in Filomat
- Vol. 37 (13) , 4195-4210
Well-posedness and energy decay for full von Kármán system of dynamic theromelasticity damped with distributed delay and past history terms
In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional von K?rm?n beam is coupled to a thermal effect and frictional damping with distributed delay and past history. We first give the well-posedness of the system by using the semigroup theory. Then, we establish a decay result by introducing a suitable Lyapunov functionals.
- 1 January 2023
- Published by National Library of Serbia in Filomat
- Vol. 37 (13) , 4195-4210
Open AccessWell-posedness and energy decay for full von Kármán system of dynamic theromelasticity damped with distributed delay and past history terms
In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional von K?rm?n beam is coupled to a thermal effect and frictional damping with distributed delay and past history. We first give the well-posedness of the system by using the semigroup theory. Then, we establish a decay result by introducing a suitable Lyapunov functionals.
- 20 November 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (5) , 6002-6024
Exponential stability for a thermoelastic Bresse system: Theoretical and numerical study
This study aims to investigate numerically and theoretically a thermoelastic Bresse system where the heat conduction given by the Green and Naghdi theories. Theoretically, we establish the existence and uniqueness of solutions as well as the exponential stability regardless of the system's parameters. Numerically, we present a finite element approximation, and we show the discrete energy decay. At the end, we provide some numerical results with an error estimate based on additional regularity of the solution.
- 20 November 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (5) , 6002-6024
Exponential stability for a thermoelastic Bresse system: Theoretical and numerical study
This study aims to investigate numerically and theoretically a thermoelastic Bresse system where the heat conduction given by the Green and Naghdi theories. Theoretically, we establish the existence and uniqueness of solutions as well as the exponential stability regardless of the system's parameters. Numerically, we present a finite element approximation, and we show the discrete energy decay. At the end, we provide some numerical results with an error estimate based on additional regularity of the solution.
- Open Access
- 10 August 2022
- Published by Springer Nature in Research Square
On the stability of Lord Shulman thermoelastic system with porous damping
In this work, we study the asymptotic behavior of a one-dimensional Lord-Shulman thermoelastic system [1]. We establish the well-posedness and the stability of the system by using the energy method. We present a finite element approximation and we show the discrete energy decay. At the end, numerical simulations are presented to validate the theoretical results.AMS Subject Classification: 435B37, 35L55, 74D05, 93D15.
- 10 August 2022
- Published by Springer Nature in Research Square
Open AccessOn the stability of Lord Shulman thermoelastic system with porous damping
In this work, we study the asymptotic behavior of a one-dimensional Lord-Shulman thermoelastic system [1]. We establish the well-posedness and the stability of the system by using the energy method. We present a finite element approximation and we show the discrete energy decay. At the end, numerical simulations are presented to validate the theoretical results.AMS Subject Classification: 435B37, 35L55, 74D05, 93D15.