A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the...
Збережено в:
| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/177259 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions / B. Ahmad, S.K. Ntouyas // Нелінійні коливання. — 2016. — Т. 19, № 3. — С. 291-310 — Бібліогр.: 37 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-177259 |
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dspace |
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irk-123456789-1772592021-02-14T01:26:23Z A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions Ahmad, B. Ntouyas, S.K. This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray – Schauder’s alternative. The results are explained with the aid of examples. Розглядається iснування та єдинiсть розв’язкiв з’єднаних систем нелокальних диференцiальних рiвнянь дробового порядку зi з’єднаними та нез’єднаними розщепленими смугами в iнтегральних граничних умовах. Iснування та єдинiсть розв’язкiв встановлено за допомогою теореми Банаха про стискаючi вiдображення. Iснування розв’язкiв доведено з використанням альтернативи Лерея – Шаудера. Результати пояснено за допомогою прикладiв. 2016 Article A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions / B. Ahmad, S.K. Ntouyas // Нелінійні коливання. — 2016. — Т. 19, № 3. — С. 291-310 — Бібліогр.: 37 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/177259 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray – Schauder’s alternative. The results are explained with the aid of examples. |
| format |
Article |
| author |
Ahmad, B. Ntouyas, S.K. |
| spellingShingle |
Ahmad, B. Ntouyas, S.K. A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions Нелінійні коливання |
| author_facet |
Ahmad, B. Ntouyas, S.K. |
| author_sort |
Ahmad, B. |
| title |
A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions |
| title_short |
A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions |
| title_full |
A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions |
| title_fullStr |
A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions |
| title_full_unstemmed |
A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions |
| title_sort |
coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/177259 |
| citation_txt |
A coupled system of nonlocal fractional differential equations with coupled and uncoupled slit-strips integral boundary conditions / B. Ahmad, S.K. Ntouyas // Нелінійні коливання. — 2016. — Т. 19, № 3. — С. 291-310 — Бібліогр.: 37 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
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2023-10-18T22:43:10Z |
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2023-10-18T22:43:10Z |
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