Journal
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
Volume 22, Issue 6-7, Pages 791-802Publisher
EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/09615531211244925
Keywords
Population dynamics; Caputo fractional derivative; Differential transform method; Pade approximants; Fractional integro-differential equation; Mathematical analysis; Modelling
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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 Pade 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.
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