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A new numerical technique for solving Caputo time-fractional biological population equation

  • Received: 01 July 2019 Accepted: 16 August 2019 Published: 03 September 2019
  • MSC : Primary 35R11, 26A33; Secondary 74G10, 34K28

  • In this paper, we propose a new numerical technique called modified generalized Taylor fractional series method (MGTFSM) for solving Caputo time-fractional biological population equation.We present our obtained results in the form of a new theorem.This method based on constructing series solutions in a form of rapidly convergent series with easily computable components and without need of linearization, discretization, perturbation or unrealistic assumptions.The accuracy and efficiency of the method is tested by means of three numerical examples.The results prove that the proposed method is very effective and simple for solving fractional partial differential equations.

    Citation: Ali Khalouta, Abdelouahab Kadem. A new numerical technique for solving Caputo time-fractional biological population equation[J]. AIMS Mathematics, 2019, 4(5): 1307-1319. doi: 10.3934/math.2019.5.1307

    Related Papers:

  • In this paper, we propose a new numerical technique called modified generalized Taylor fractional series method (MGTFSM) for solving Caputo time-fractional biological population equation.We present our obtained results in the form of a new theorem.This method based on constructing series solutions in a form of rapidly convergent series with easily computable components and without need of linearization, discretization, perturbation or unrealistic assumptions.The accuracy and efficiency of the method is tested by means of three numerical examples.The results prove that the proposed method is very effective and simple for solving fractional partial differential equations.


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  • © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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