Fredholm boundary-value problem for the two-term sequential fractional differential equation
UDC 517.9 We establish necessary and sufficient conditions for the solvability and the general form of the solution to the linear boundary-value problem for the two-term sequential differential equation. The following two cases are considered:  1) the sequential derivative...
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| Дата: | 2025 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8611 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9
We establish necessary and sufficient conditions for the solvability and the general form of the solution to the linear boundary-value problem for the two-term sequential differential equation. The following two cases are considered:  1) the sequential derivative is a combination of two fractional Caputo derivatives;  2) the sequential derivative is a combination of the ordinary derivative and the Caputo fractional derivative.  |
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| DOI: | 10.3842/umzh.v77i1.8611 |