The purpose of this paper is to propose an approximate method for solving a fractional population growth model in a closed system. The fractional derivatives are described in the Caputo sense.
The approach is based on the differential transform method. The solutions of a fractional model equation are calculated in the form of convergent series with easily computable components.
The diagonal Padé approximants are effectively used in the analysis to capture the essential behavior of the solution.
Illustrative examples are included to demonstrate the validity and applicability of the technique.
Suat Erturk, V., Yıldırım, A., Momanic, S. and Khan, Y. (2012), "The differential transform method and Padé approximants for a fractional population growth model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 6, pp. 791-802. https://doi.org/10.1108/09615531211244925
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