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

Ahmed Alawneh

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-7

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:592938

DOI: 10.1155/2013/592938

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