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    Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess

    Access Status
    Fulltext not available
    Authors
    Zhang, Xinguang
    Mao, C.
    Liu, Lishan
    Wu, Yong Hong
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Zhang, X. and Mao, C. and Liu, L. and Wu, Y.H. 2017. Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess. Qualitative Theory of Dynamical Systems. 16 (1): pp. 205-222.
    Source Title
    Qualitative Theory of Dynamical Systems
    DOI
    10.1007/s12346-015-0162-z
    ISSN
    1575-5460
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/53389
    Collection
    • Curtin Research Publications
    Abstract

    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.

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