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Purpose
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.
Design/methodology/approach
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.
Findings
The diagonal Padé approximants are effectively used in the analysis to capture the essential behavior of the solution.
Originality/value
Illustrative examples are included to demonstrate the validity and applicability of the technique.
© Emerald Group Publishing Limited
2012
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