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Convergence and stability analysis of a novel iteration method for fractional biological population equation

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Abstract

We put into action new analytical technique for solving nonlinear fractional partial differential equations arising in biological population dynamics system. We present in details the stability, the convergence, and the uniqueness analysis by constructing a suitable Hilbert space. Some exact analytical solutions are given, and a quantity of properties gives you an idea about signs of biologically practical reliance on the parameter values. The regularity of this course of action and the diminution in computations confer a wider applicability. In all examples, in the limit of infinitely, many terms of the series solution yield the exact solution.

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Authors and Affiliations

  1. Faculty of Natural and Agricultural Sciences, Institute for Groundwater Studies, University of the Free State, 9301, Bloemfontein, South Africa

    Abdon Atangana

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  1. Abdon Atangana
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Correspondence to Abdon Atangana.

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Atangana, A. Convergence and stability analysis of a novel iteration method for fractional biological population equation. Neural Comput & Applic 25, 1021–1030 (2014). https://doi.org/10.1007/s00521-014-1586-0

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  • DOI: https://doi.org/10.1007/s00521-014-1586-0

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