The iterative solutions of nonlinear fractional differential equations
By means of monotone iterative technique, the existence and uniqueness of the positive solution for a fractional differential equation with derivatives are established, and the iterative sequence of the solution, an error estimation and the convergence rate of the positive solution are also given.
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2013
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/3262 |
| _version_ | 1848744183733420032 |
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| author | Zhang, Xinguang Liu, Lishan Wu, Yong Hong Lu, Yinan |
| author_facet | Zhang, Xinguang Liu, Lishan Wu, Yong Hong Lu, Yinan |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | By means of monotone iterative technique, the existence and uniqueness of the positive solution for a fractional differential equation with derivatives are established, and the iterative sequence of the solution, an error estimation and the convergence rate of the positive solution are also given. |
| first_indexed | 2025-11-14T05:57:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-3262 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:57:25Z |
| publishDate | 2013 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-32622017-09-13T14:46:24Z The iterative solutions of nonlinear fractional differential equations Zhang, Xinguang Liu, Lishan Wu, Yong Hong Lu, Yinan Positive solution Iterative sequence Existence and uniqueness Fractional differential equation Error estimation By means of monotone iterative technique, the existence and uniqueness of the positive solution for a fractional differential equation with derivatives are established, and the iterative sequence of the solution, an error estimation and the convergence rate of the positive solution are also given. 2013 Journal Article http://hdl.handle.net/20.500.11937/3262 10.1016/j.amc.2012.10.082 Elsevier Inc. restricted |
| spellingShingle | Positive solution Iterative sequence Existence and uniqueness Fractional differential equation Error estimation Zhang, Xinguang Liu, Lishan Wu, Yong Hong Lu, Yinan The iterative solutions of nonlinear fractional differential equations |
| title | The iterative solutions of nonlinear fractional differential equations |
| title_full | The iterative solutions of nonlinear fractional differential equations |
| title_fullStr | The iterative solutions of nonlinear fractional differential equations |
| title_full_unstemmed | The iterative solutions of nonlinear fractional differential equations |
| title_short | The iterative solutions of nonlinear fractional differential equations |
| title_sort | iterative solutions of nonlinear fractional differential equations |
| topic | Positive solution Iterative sequence Existence and uniqueness Fractional differential equation Error estimation |
| url | http://hdl.handle.net/20.500.11937/3262 |