The differential transform method and Pade approximants for a fractional population growth model
Küçük Resim Yok
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerald Group Publishing Limited
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Population dynamics, Caputo fractional derivative, Differential transform method, Pade approximants, Fractional integro-differential equation, Mathematical analysis, Modelling
Kaynak
International Journal of Numerical Methods For Heat & Fluid Flow
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
22
Sayı
06.Jul
