Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions
This study is concerned with a nonlinear viscoelastic wave equation with logarithmic source term. By considering the nonlinear distributed delay feedback influenced by acoustic and fractional boundary conditions at the boundary coupling, we establish the global existence and general decay results un...
Saved in:
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Springer Science and Business Media Deutschland GmbH
2025
|
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1833411004168404992 |
|---|---|
| author | Choucha A. Boulaaras S. Jan R. Ahmed A.H. |
| author2 | 57216493937 |
| author_facet | 57216493937 Choucha A. Boulaaras S. Jan R. Ahmed A.H. |
| author_sort | Choucha A. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This study is concerned with a nonlinear viscoelastic wave equation with logarithmic source term. By considering the nonlinear distributed delay feedback influenced by acoustic and fractional boundary conditions at the boundary coupling, we establish the global existence and general decay results under appropriate assumptions, even in the case of a general kernel. This result extends and complements some previous results. ? The Author(s) 2024. |
| format | Article |
| id | my.uniten.dspace-36106 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Springer Science and Business Media Deutschland GmbH |
| record_format | dspace |
| spelling | my.uniten.dspace-361062025-03-03T15:41:23Z Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions Choucha A. Boulaaras S. Jan R. Ahmed A.H. 57216493937 36994353700 57205596279 57219903927 This study is concerned with a nonlinear viscoelastic wave equation with logarithmic source term. By considering the nonlinear distributed delay feedback influenced by acoustic and fractional boundary conditions at the boundary coupling, we establish the global existence and general decay results under appropriate assumptions, even in the case of a general kernel. This result extends and complements some previous results. ? The Author(s) 2024. Final 2025-03-03T07:41:23Z 2025-03-03T07:41:23Z 2024 Article 10.1186/s13661-024-01959-8 2-s2.0-85208503544 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85208503544&doi=10.1186%2fs13661-024-01959-8&partnerID=40&md5=4a6f3222da163c4ae3abc80030baf79e https://irepository.uniten.edu.my/handle/123456789/36106 2024 1 145 All Open Access; Gold Open Access Springer Science and Business Media Deutschland GmbH Scopus |
| spellingShingle | Choucha A. Boulaaras S. Jan R. Ahmed A.H. Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| title | Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| title_full | Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| title_fullStr | Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| title_full_unstemmed | Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| title_short | Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| title_sort | global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions |
| url_provider | http://dspace.uniten.edu.my/ |