Existence of solutions for a sequential fractional differential system with coupled boundary conditions
© 2016, Jiang and Liu.This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is estab...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/52165 |
| _version_ | 1848758861930954752 |
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| author | Jiang, J. Liu, Lishan |
| author_facet | Jiang, J. Liu, Lishan |
| author_sort | Jiang, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016, Jiang and Liu.This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is established via Banach’s contraction principle. Two examples are then given to demonstrate the validity of our main results. |
| first_indexed | 2025-11-14T09:50:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-52165 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:43Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521652017-09-13T15:39:04Z Existence of solutions for a sequential fractional differential system with coupled boundary conditions Jiang, J. Liu, Lishan © 2016, Jiang and Liu.This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is established via Banach’s contraction principle. Two examples are then given to demonstrate the validity of our main results. 2016 Journal Article http://hdl.handle.net/20.500.11937/52165 10.1186/s13661-016-0666-8 SpringerOpen unknown |
| spellingShingle | Jiang, J. Liu, Lishan Existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| title | Existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| title_full | Existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| title_fullStr | Existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| title_full_unstemmed | Existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| title_short | Existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| title_sort | existence of solutions for a sequential fractional differential system with coupled boundary conditions |
| url | http://hdl.handle.net/20.500.11937/52165 |