Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source
This study focused on a coupled nonlinear wave equation system featuring fractional damping and polynomial source terms within a bounded domain. We demonstrated that, under specific conditions, the solutions exhibited blow-up in a finite time-frame.
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-10-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024265 |
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| author | Abdelhadi Safsaf Suleman Alfalqi Ahmed Bchatnia Abderrahmane Beniani |
| author_facet | Abdelhadi Safsaf Suleman Alfalqi Ahmed Bchatnia Abderrahmane Beniani |
| author_sort | Abdelhadi Safsaf |
| collection | DOAJ |
| description | This study focused on a coupled nonlinear wave equation system featuring fractional damping and polynomial source terms within a bounded domain. We demonstrated that, under specific conditions, the solutions exhibited blow-up in a finite time-frame. |
| format | Article |
| id | doaj-art-d82809d881bf42e0a0299f827e42103d |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-d82809d881bf42e0a0299f827e42103d2025-01-23T07:52:53ZengAIMS PressElectronic Research Archive2688-15942024-10-0132105738575110.3934/era.2024265Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external sourceAbdelhadi Safsaf0Suleman Alfalqi1Ahmed Bchatnia2Abderrahmane Beniani3Department of Mathematics, University of Ain Temouchent, Faculty of Science and Technology, Engineering and Sustainable Development, Laboratory, Ain Témouchent 46000, AlgeriaDepartment of Mathematics, Applied College in Mahayil, King Khalid University, Abha, Saudi ArabiaLR Analyse Non-Linéaire et Géométrie, LR21ES08, Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El Manar, TunisiaDepartment of Mathematics, University of Ain Temouchent, Faculty of Science and Technology, Engineering and Sustainable Development, Laboratory, Ain Témouchent 46000, AlgeriaThis study focused on a coupled nonlinear wave equation system featuring fractional damping and polynomial source terms within a bounded domain. We demonstrated that, under specific conditions, the solutions exhibited blow-up in a finite time-frame.https://www.aimspress.com/article/doi/10.3934/era.2024265wave equationcoupled systemblow-up for solutioncaputo's fractional derivative |
| spellingShingle | Abdelhadi Safsaf Suleman Alfalqi Ahmed Bchatnia Abderrahmane Beniani Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source Electronic Research Archive wave equation coupled system blow-up for solution caputo's fractional derivative |
| title | Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source |
| title_full | Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source |
| title_fullStr | Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source |
| title_full_unstemmed | Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source |
| title_short | Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source |
| title_sort | blow up dynamics in nonlinear coupled wave equations with fractional damping and external source |
| topic | wave equation coupled system blow-up for solution caputo's fractional derivative |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024265 |
| work_keys_str_mv | AT abdelhadisafsaf blowupdynamicsinnonlinearcoupledwaveequationswithfractionaldampingandexternalsource AT sulemanalfalqi blowupdynamicsinnonlinearcoupledwaveequationswithfractionaldampingandexternalsource AT ahmedbchatnia blowupdynamicsinnonlinearcoupledwaveequationswithfractionaldampingandexternalsource AT abderrahmanebeniani blowupdynamicsinnonlinearcoupledwaveequationswithfractionaldampingandexternalsource |