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

الملخص EN

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.