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Keywords:
Volterra's population system of fractional order; Caputo's fractional derivative; bi-parametric homotopy method; convergence region
Volterra's population system of fractional order; Caputo's fractional derivative; bi-parametric homotopy method; convergence region
Summary:
This paper considers a Volterra's population system of fractional order and describes a bi-parametric homotopy analysis method for solving this system. The homotopy method offers a possibility to increase the convergence region of the series solution. Two examples are presented to illustrate the convergence and accuracy of the method to the solution. Further, we define the averaged residual error to show that the obtained results have reasonable accuracy.
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