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Numerical approximations and padé approximants for a fractional population growth model. (English) Zbl 1167.45300

Summary: This paper presents an efficient numerical algorithm for approximate solutions of a fractional population growth model in a closed system. The time-fractional derivative is considered in the Caputo sense. The algorithm is based on Adomian’s decomposition approach and the solutions are calculated in the form of a convergent series with easily computable components. Then the Padé approximants are effectively used in the analysis to capture the essential behavior of the population \(u(t)\) of identical individuals.

MSC:

45D05 Volterra integral equations
92D25 Population dynamics (general)
26A33 Fractional derivatives and integrals
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