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A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions

A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple... Abstract In this paper, we study a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions with time fractional Caputo derivative. The present article involves a more generalized effective approach, proposed for the Brusselator system say q -homotopy analysis transform method ( q -HATM), providing the family of series solutions with nonlocal generalized effects. The convergence of the q -HATM series solution is adjusted and controlled by auxiliary parameter ℏ and asymptotic parameter n . The numerical results are demonstrated graphically. The outcomes of the study show that the q -HATM is computationally very effective and accurate to analyze nonlinear fractional differential equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions

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Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
2192-8010
eISSN
2192-8029
DOI
10.1515/nleng-2016-0041
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper, we study a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions with time fractional Caputo derivative. The present article involves a more generalized effective approach, proposed for the Brusselator system say q -homotopy analysis transform method ( q -HATM), providing the family of series solutions with nonlocal generalized effects. The convergence of the q -HATM series solution is adjusted and controlled by auxiliary parameter ℏ and asymptotic parameter n . The numerical results are demonstrated graphically. The outcomes of the study show that the q -HATM is computationally very effective and accurate to analyze nonlinear fractional differential equations.

Journal

Nonlinear Engineeringde Gruyter

Published: Dec 1, 2016

References