Nonexistence results for a system of nonlinear fractional integro-differential equations
UDC 517.9 We investigate the nonexistence of (nontrivial) global solutions for a system of nonlinear fractional equations.  Each equation involves $n$ fractional derivatives, a subfirst-order ordinary derivative, and a nonlinear source term. ...
Saved in:
| Date: | 2023 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6902 |
| 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_ | 1860512550036176896 |
|---|---|
| author | Mugbil, A. Mugbil, A. |
| author_facet | Mugbil, A. Mugbil, A. |
| author_sort | Mugbil, A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-05-14T15:30:10Z |
| description |
UDC 517.9
We investigate the nonexistence of (nontrivial) global solutions for a system of nonlinear fractional equations.  Each equation involves $n$ fractional derivatives, a subfirst-order ordinary derivative, and a nonlinear source term.  The fractional derivatives are of the Caputo type of order between $0$ and $1.$  The nonlinear sources have the form of the convolution of a function of  state with (possibly singular) kernel.  We generalize the results available in the literature, in particular, the results obtained by Mennouni and Youkana [Electron. J. Different. Equat., 152, 1–15 (2017)] and Ahmad and Tatar [Turkish J. Math., 43, 2715–2730 (2019)]. |
| doi_str_mv | 10.37863/umzh.v75i4.6902 |
| first_indexed | 2026-03-24T03:30:34Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-6902 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:30:34Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-69022023-05-14T15:30:10Z Nonexistence results for a system of nonlinear fractional integro-differential equations Nonexistence results for a system of nonlinear fractional integro-differential equations Mugbil, A. Mugbil, A. Nonexistence global solution fractional differential equation Caputo fractional derivative Riemann--Liouville integral Applied Mathematics Fractional Differential Equations UDC 517.9 We investigate the nonexistence of (nontrivial) global solutions for a system of nonlinear fractional equations.  Each equation involves $n$ fractional derivatives, a subfirst-order ordinary derivative, and a nonlinear source term.  The fractional derivatives are of the Caputo type of order between $0$ and $1.$  The nonlinear sources have the form of the convolution of a function of  state with (possibly singular) kernel.  We generalize the results available in the literature, in particular, the results obtained by Mennouni and Youkana [Electron. J. Different. Equat., 152, 1–15 (2017)] and Ahmad and Tatar [Turkish J. Math., 43, 2715–2730 (2019)]. УДК 517.9 Результати щодо неіснування розв'язків системи нелінійних дробових інтегро-диференціальних рівнянь Досліджено випадок неіснування (нетривіальних) глобальних розв'язків системи нелінійних дробових рівнянь. Кожне рівняння містить $n$ дробових похідних, звичайну похідну підпершого порядку та нелінійний член, що відповідає джерелу. Дробові похідні мають порядок типу Капуто між $0$ та $1.$  Нелінійні джерела мають форму згортки функції стану з (можливо, сингулярним) ядром. У цій статті узагальнено деякі відомі з літератури результати, зокрема результати Меннуні й Юкани [Electron. J. Different. Equat., 152, 1–15 (2017)] and Ahmad and Tatar [Turkish J. Math., 43, 2715–2730 (2019)]. Institute of Mathematics, NAS of Ukraine 2023-05-10 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/6902 10.37863/umzh.v75i4.6902 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 4 (2023); 478 - 490 Український математичний журнал; Том 75 № 4 (2023); 478 - 490 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6902/9781 Copyright (c) 2023 Ahmad M Ahmad |
| spellingShingle | Mugbil, A. Mugbil, A. Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title | Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title_alt | Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title_full | Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title_fullStr | Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title_full_unstemmed | Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title_short | Nonexistence results for a system of nonlinear fractional integro-differential equations |
| title_sort | nonexistence results for a system of nonlinear fractional integro-differential equations |
| topic_facet | Nonexistence global solution fractional differential equation Caputo fractional derivative Riemann--Liouville integral Applied Mathematics Fractional Differential Equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6902 |
| work_keys_str_mv | AT mugbila nonexistenceresultsforasystemofnonlinearfractionalintegrodifferentialequations AT mugbila nonexistenceresultsforasystemofnonlinearfractionalintegrodifferentialequations |