Fractional Calculus: New Applications in Understanding Nonlinear Phenomena

A Unified Approach for the Fractional System of Equations Arising in the Biochemical Reaction without Singular Kernel

Author(s): P. Veeresha*, M.S. Kiran, L. Akinyemi and Mehmet Yavuz

Pp: 210-231 (22)

DOI: 10.2174/9789815051933122030012

* (Excluding Mailing and Handling)


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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