Abstract
The pivotal aim of the present work is to find the solution for the fractional
system of equations arising in the biochemical reaction using q-homotopy analysis
transform method (q-HATM). The hired scheme technique unification of Laplace
transform with q-homotopy analysis method, and fractional derivative defined with
Caputo-Fabrizio (CF) operator. To validate and illustrate the competence of the future
method, we examined the model in terms of fractional order. The fixed-point theorem
hired to demonstrates the existence and uniqueness. Moreover, the physical nature of
achieved solutions has been captured in terms of plots for different order. The
obtained results elucidate that the considered algorithm is easy to implement, highly
methodical, and very effective as well as accurate to analyse the nature of nonlinear
differential equations of fractional order arising in the connected areas of science and
engineering.
Keywords: Biochemical reaction, Caputo-Fabrizio derivative, Enzyme kinetics, Mathematical model, Homotopy analysis method, Laplace transform.
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