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

• Xinguang Zhang ^[1] ; Cuiling Mao ^[1] ; Lishan Liu ^[2] ; Yonghong Wu ^[2]
  1. [1] Yantai University

     Yantai University

     China

     
  2. [2] Curtin University of Technology (Australia)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 1, 2017, págs. 205-222
• Idioma: inglés
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• Resumen

  • 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.