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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 592938, 7 pages
http://dx.doi.org/10.1155/2013/592938
Research Article

Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics

Department of Science and Humanities, Princess Sumaya University for Technology, Amman 11941, Jordan

Received 29 September 2012; Accepted 21 December 2012

Academic Editor: R. Sahadevan

Copyright © 2013 Ahmed Alawneh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The multistep differential transform method is first employed to solve a time-fractional enzyme kinetics. This enzyme-substrate reaction is formed by a system of nonlinear ordinary differential equations of fractional order. The fractional derivatives are described in the Caputo sense. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The results demonstrate reliability and efficiency of the algorithm developed.