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An Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique

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  • Hassan Khan
  • Adnan Khan
  • Maysaa Al Qurashi
  • Dumitru Baleanu
  • Rasool Shah

Abstract

In this paper, a new so-called iterative Laplace transform method is implemented to investigate the solution of certain important population models of noninteger order. The iterative procedure is combined effectively with Laplace transformation to develop the suggested methodology. The Caputo operator is applied to express the noninteger derivative of fractional order. The series form solution is obtained having components of convergent behavior toward the exact solution. For justification and verification of the present method, some illustrative examples are discussed. The closed contact is observed between the obtained and exact solutions. Moreover, the suggested method has a small volume of calculations; therefore, it can be applied to handle the solutions of various problems with fractional-order derivatives.

Suggested Citation

  • Hassan Khan & Adnan Khan & Maysaa Al Qurashi & Dumitru Baleanu & Rasool Shah, 2020. "An Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique," Complexity, Hindawi, vol. 2020, pages 1-13, April.
    • Handle: RePEc:hin:complx:5047054
    DOI: 10.1155/2020/5047054
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    Cited by:

    1. Gbenga O. Ojo & Nazim I. Mahmudov, 2021. "Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order," Mathematics, MDPI, vol. 9(2), pages 1-21, January.

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