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Approximate analytical solution of fractional order biochemical reaction model and its stability analysis

International Journal of Biomathematics 2019年第5期12卷 241-261页

作者： Ved Prakash Dubey Rajnesh Kumar Devendra Kumar Faculty of Mathematical and Statistical Sciences Shri Ramswaroop Memorial University Lucknow-Deva Road Uttar Pradesh-225003India Department of Mathematics University of Rajasthan Jaipur-302004RajasthanIndia

Approximate analytical solution of the system of coupled nonlinear Ordinary Differential Equations (ODEs) of a biochemical reaction model is much relevant due to its practical significance to *** this paper,an effective and powerful mathematical technique,*** homotopy analysis transform method (fhatm),is employed to get the numerical solutions of biochemical reaction model with time fractional *** adopted scheme is the beautiful copulation of homotopy analysis technique and Laplace transform *** paper shows that the adopted scheme is quite easy as well as computationally attractive in the context of a solution *** Caputo-type fractional derivatives are considered in the present *** results of the probability density functions of the time fractional biochemical reaction model are computed for miscellaneous fractional Brownian motions as well as for classical motion and are presented *** time fractional biochemical reaction model with respect to stability analysis for various values of fractional order q is also *** the context of stability discussion,we have used the fractional Routh-Hurwitz stability criterion to establish the local stability of the biochemical reaction model of fractional order.

关键词： Biochemical reaction model fhatm Laplace transform homotopy stability analysis fractional order

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