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Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model

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  • Najeeb Alam Khan
  • Amir Mahmood
  • Nadeem Alam Khan
  • Asmat Ara

Abstract

This paper suggests two component homotopy method to solve nonlinear fractional integrodifferential equations, namely, Volterra's population model. Padé approximation was effectively used in this method to capture the essential behavior of solutions for the mathematical model of accumulated effect of toxins on a population living in a closed system. The behavior of the solutions and the effects of different values of fractional-order are indicated graphically. The study outlines significant features of this method as well as sheds some light on advantages of the method over the other. The results show that this method is very efficient, convenient, and can be adapted to fit a larger class of problems.

Suggested Citation

  • Najeeb Alam Khan & Amir Mahmood & Nadeem Alam Khan & Asmat Ara, 2012. "Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-8, November.
    • Handle: RePEc:hin:jnijde:845945
    DOI: 10.1155/2012/845945
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