Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative
In this paper, we establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential inclusions involving the Riemann-Liouville fractional derivative. The cases of both convex and nonconvex valued right-hand side are considered. The top...
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| Datum: | 2011 |
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| Sprache: | English |
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Інститут математики НАН України
2011
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| Schriftenreihe: | Нелінійні коливання |
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| Zitieren: | Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative / M. Benchohra, S. Djebali, S. Hamani // Нелінійні коливання. — 2011. — Т. 14, № 1. — С. 7-20. — Бібліогр.: 20 назв. — англ. |
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oai:nasplib.isofts.kiev.ua:123456789-1753112025-02-23T17:21:02Z Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative Граничні задачі для диференціальних включень з дробовою похідною Рімана-Ліувілля Краевые задачи для дифференциальных включений с дробной производной Римана-Лиувилля Benchohra, M. Djebali, S. Hamani, S. In this paper, we establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential inclusions involving the Riemann-Liouville fractional derivative. The cases of both convex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also examined. Отримано достатнi умови iснування розв’язкiв для класу граничних задач для диференцiальних включень з похiдною дробового порядку, включаючи дробову похiдну Рiмана – Лiувiлля. Розглянуто випадки опуклої та неопуклої правої частини. Також вивчено топологiчну структуру множини розв’язкiв. The authors are grateful to the referee for his remarks which led to an improvement of the first mansucript. 2011 Article Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative / M. Benchohra, S. Djebali, S. Hamani // Нелінійні коливання. — 2011. — Т. 14, № 1. — С. 7-20. — Бібліогр.: 20 назв. — англ. 1562-3076 https://nasplib.isofts.kiev.ua/handle/123456789/175311 517.9 en Нелінійні коливання application/pdf Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, we establish sufficient conditions for the existence of solutions for a class of boundary value
problem for fractional differential inclusions involving the Riemann-Liouville fractional derivative. The
cases of both convex and nonconvex valued right-hand side are considered. The topological structure of
the set of solutions is also examined. |
| format |
Article |
| author |
Benchohra, M. Djebali, S. Hamani, S. |
| spellingShingle |
Benchohra, M. Djebali, S. Hamani, S. Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative Нелінійні коливання |
| author_facet |
Benchohra, M. Djebali, S. Hamani, S. |
| author_sort |
Benchohra, M. |
| title |
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative |
| title_short |
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative |
| title_full |
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative |
| title_fullStr |
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative |
| title_full_unstemmed |
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative |
| title_sort |
boundary value problems of differential inclusions with riemann-liouville fractional derivative |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| citation_txt |
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative / M. Benchohra, S. Djebali, S. Hamani // Нелінійні коливання. — 2011. — Т. 14, № 1. — С. 7-20. — Бібліогр.: 20 назв. — англ. |
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Нелінійні коливання |
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