Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess
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Authors
Zhang, Xinguang
Mao, C.
Liu, Lishan
Wu, Yong Hong
Date
2017Type
Journal Article
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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.
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Qualitative Theory of Dynamical Systems
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Department of Mathematics and Statistics
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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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