Stability of Caputo fractional hyperbolic systems
UDC 517.95 We study the problems of well-posedness and stability for fractional linear hyperbolic systems (FLHS) with the Caputo time-fractional derivative. First, the existence and uniqueness are established for the global solution of the FLHS. Then we obtain some polynomial stability results for...
Saved in:
| Date: | 2026 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7937 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512814901231616 |
|---|---|
| author | Arfaoui, Hassen Arfaoui, Hassen |
| author_facet | Arfaoui, Hassen Arfaoui, Hassen |
| author_sort | Arfaoui, Hassen |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T11:04:14Z |
| description | UDC 517.95
We study the problems of well-posedness and stability for fractional linear hyperbolic systems (FLHS) with the Caputo time-fractional derivative. First, the existence and uniqueness are established for the global solution of the FLHS. Then we obtain some polynomial stability results for the FLHS in different Hilbert spaces. Finally, some numerical examples are presented to confirm the theoretical results. |
| doi_str_mv | 10.3842/umzh.v78i1-2.7937 |
| first_indexed | 2026-03-24T03:34:46Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7937 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:34:46Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-79372026-03-21T11:04:14Z Stability of Caputo fractional hyperbolic systems Stability of Caputo fractional hyperbolic systems Arfaoui, Hassen Arfaoui, Hassen Hyperbolic system, Caputo fractional derivative, Polynomial stability, Finite difference scheme UDC 517.95 We study the problems of well-posedness and stability for fractional linear hyperbolic systems (FLHS) with the Caputo time-fractional derivative. First, the existence and uniqueness are established for the global solution of the FLHS. Then we obtain some polynomial stability results for the FLHS in different Hilbert spaces. Finally, some numerical examples are presented to confirm the theoretical results. УДК 517.95 Стійкість гіперболічних систем із похідною Капуто дробового порядку Розглянуто задачі коректності та стійкості дробових лінійних гіперболічних систем з дробовою похідною Капуто за часом. Спочатку встановлено існування та єдиність глобального розв'язку таких систем. Далі отримано результати щодо їхньої поліноміальної стійкості в різних гільбертових просторах. Насамкінець наведено числові приклади, які підтверджують наші теоретичні висновки. Institute of Mathematics, NAS of Ukraine 2026-03-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7937 10.3842/umzh.v78i1-2.7937 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 1-2 (2026); 79 Український математичний журнал; Том 78 № 1-2 (2026); 79 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7937/10620 Copyright (c) 2026 Hassen Arfaoui |
| spellingShingle | Arfaoui, Hassen Arfaoui, Hassen Stability of Caputo fractional hyperbolic systems |
| title | Stability of Caputo fractional hyperbolic systems |
| title_alt | Stability of Caputo fractional hyperbolic systems |
| title_full | Stability of Caputo fractional hyperbolic systems |
| title_fullStr | Stability of Caputo fractional hyperbolic systems |
| title_full_unstemmed | Stability of Caputo fractional hyperbolic systems |
| title_short | Stability of Caputo fractional hyperbolic systems |
| title_sort | stability of caputo fractional hyperbolic systems |
| topic_facet | Hyperbolic system Caputo fractional derivative Polynomial stability Finite difference scheme |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7937 |
| work_keys_str_mv | AT arfaouihassen stabilityofcaputofractionalhyperbolicsystems AT arfaouihassen stabilityofcaputofractionalhyperbolicsystems |