Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval
© 2018 John Wiley & Sons, Ltd. In this paper, we study a integral boundary value problem of fractional differential equation with the nonlinearity depending on fractional derivatives of lower order on an infinite interval. We establish a proper compactness criterion in a special function space...
| Main Authors: | , , |
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| Format: | Journal Article |
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John Wiley & Sons Ltd.
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/73468 |
| _version_ | 1848763021388677120 |
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| author | Hao, X. Sun, H. Liu, Lishan |
| author_facet | Hao, X. Sun, H. Liu, Lishan |
| author_sort | Hao, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018 John Wiley & Sons, Ltd. In this paper, we study a integral boundary value problem of fractional differential equation with the nonlinearity depending on fractional derivatives of lower order on an infinite interval. We establish a proper compactness criterion in a special function space. By using the Schauder fixed point theorem and Banach contraction mapping principle, we show the existence and uniqueness results of solutions. Two examples are also provided to illustrate the main results. The results obtained generalize and include some known results. |
| first_indexed | 2025-11-14T10:56:50Z |
| format | Journal Article |
| id | curtin-20.500.11937-73468 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:56:50Z |
| publishDate | 2018 |
| publisher | John Wiley & Sons Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-734682018-12-13T09:35:50Z Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval Hao, X. Sun, H. Liu, Lishan © 2018 John Wiley & Sons, Ltd. In this paper, we study a integral boundary value problem of fractional differential equation with the nonlinearity depending on fractional derivatives of lower order on an infinite interval. We establish a proper compactness criterion in a special function space. By using the Schauder fixed point theorem and Banach contraction mapping principle, we show the existence and uniqueness results of solutions. Two examples are also provided to illustrate the main results. The results obtained generalize and include some known results. 2018 Journal Article http://hdl.handle.net/20.500.11937/73468 10.1002/mma.5210 John Wiley & Sons Ltd. restricted |
| spellingShingle | Hao, X. Sun, H. Liu, Lishan Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| title | Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| title_full | Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| title_fullStr | Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| title_full_unstemmed | Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| title_short | Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| title_sort | existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval |
| url | http://hdl.handle.net/20.500.11937/73468 |