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. ...
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| Дата: | 2023 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6902 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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)]. |
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| DOI: | 10.37863/umzh.v75i4.6902 |