Proceedings of The 2nd International Conference on Advanced Research in Applied Science and Engineering
Bernstein Polynomials Method to Solve Fractional Model of Basic Enzyme Kinetics
Approximate solutions of fractional model of biochemical reaction using Bernstein polynomials method are derived in this paper. Enzyme-substrate reaction system is formed by a system of nonlinear ordinary differential equations. Fractional orders for the system are investigated at α = 0.6, α = 0.75, α = 0.90 and α = 1, to see the behavior of the system when the order is fraction between zero and one, 0 < α ≤ 1.The effectiveness of the method is illustrated in a numerical experiment.
Keywords: Basic enzyme kinetics; Bernstein polynomials method.