Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess
In this paper, we study a singular nonlocal fractional dynamic system arising in the abstract model for bioprocess. Conditions for the exact iterative solution to the problem are established, followed by development of an iterative technique for generating approximate solution to the problem. The it...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/53389 |
| _version_ | 1848759132462514176 |
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| author | Zhang, Xinguang Mao, C. Liu, Lishan Wu, Yong Hong |
| author_facet | Zhang, Xinguang Mao, C. Liu, Lishan Wu, Yong Hong |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study a singular nonlocal fractional dynamic system arising in the abstract model for bioprocess. Conditions for the exact iterative solution to the problem are established, followed by development of an iterative technique for generating approximate solution to the problem. The iterative technique has been proved to give sequences converging uniformly to the exact solution, and formulate for estimation of the approximation error and the convergence rate have been derived. An example is also given in the paper to demonstrate the application of our theoretical results. |
| first_indexed | 2025-11-14T09:55:01Z |
| format | Journal Article |
| id | curtin-20.500.11937-53389 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:55:01Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-533892018-12-14T01:01:41Z Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess Zhang, Xinguang Mao, C. Liu, Lishan Wu, Yong Hong In this paper, we study a singular nonlocal fractional dynamic system arising in the abstract model for bioprocess. Conditions for the exact iterative solution to the problem are established, followed by development of an iterative technique for generating approximate solution to the problem. The iterative technique has been proved to give sequences converging uniformly to the exact solution, and formulate for estimation of the approximation error and the convergence rate have been derived. An example is also given in the paper to demonstrate the application of our theoretical results. 2017 Journal Article http://hdl.handle.net/20.500.11937/53389 10.1007/s12346-015-0162-z restricted |
| spellingShingle | Zhang, Xinguang Mao, C. Liu, Lishan Wu, Yong Hong Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess |
| title | Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess |
| title_full | Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess |
| title_fullStr | Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess |
| title_full_unstemmed | Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess |
| title_short | Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess |
| title_sort | exact iterative solution for an abstract fractional dynamic system model for bioprocess |
| url | http://hdl.handle.net/20.500.11937/53389 |