The differential transform method and Pade approximants for a fractional population growth model

Ertürk V. S., YILDIRIM A., Momanic S., Khan Y.

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, vol.22, no.6-7, pp.791-802, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 6-7
  • Publication Date: 2012
  • Doi Number: 10.1108/09615531211244925
  • Journal Name: INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.791-802
  • Keywords: Population dynamics, Caputo fractional derivative, Differential transform method, Pade approximants, Fractional integro-differential equation, Mathematical analysis, Modelling, NUMERICAL APPROXIMATIONS, EXPLICIT, EQUATION
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.