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 collision and enzymatic reactions

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 transf...

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Main Authors: Singh Jagdev, Rashidi M.M., Kumar Devendra, Swroop Ram
Format: Article
Language:English
Published: De Gruyter 2016-12-01
Series:Nonlinear Engineering
Subjects:
fractional reaction-diffusion brusselator system
laplace transform method
q-homotopy analysis transform method
ℏand n-curves
Online Access:https://doi.org/10.1515/nleng-2016-0041
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spelling doaj-0cee8ae322424d33ad668a14e4fc5eea2021-09-06T19:21:06ZengDe GruyterNonlinear Engineering2192-80102192-80292016-12-015427728510.1515/nleng-2016-0041A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactionsSingh Jagdev0Rashidi M.M.1Kumar Devendra2Swroop Ram3Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, IndiaShanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, ChinaDepartment of Mathematics, JECRC University, Jaipur-303905, Rajasthan, IndiaDepartment of Mathematics, Arya Institute of Engineering & Technology, Riico Kukas, Jaipur-303101, Rajasthan, IndiaIn 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.https://doi.org/10.1515/nleng-2016-0041fractional reaction-diffusion brusselator systemlaplace transform methodq-homotopy analysis transform methodℏand n-curves
collection DOAJ
language English
format Article
sources DOAJ
author Singh Jagdev
Rashidi M.M.
Kumar Devendra
Swroop Ram
spellingShingle Singh Jagdev
Rashidi M.M.
Kumar Devendra
Swroop Ram
A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
Nonlinear Engineering
fractional reaction-diffusion brusselator system
laplace transform method
q-homotopy analysis transform method
ℏand n-curves
author_facet Singh Jagdev
Rashidi M.M.
Kumar Devendra
Swroop Ram
author_sort Singh Jagdev
title A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
title_short A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
title_full A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
title_fullStr A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
title_full_unstemmed A fractional model of a dynamical Brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
title_sort fractional model of a dynamical brusselator reaction-diffusion system arising in triple collision and enzymatic reactions
publisher De Gruyter
series Nonlinear Engineering
issn 2192-8010
2192-8029
publishDate 2016-12-01
description 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.
topic fractional reaction-diffusion brusselator system
laplace transform method
q-homotopy analysis transform method
ℏand n-curves
url https://doi.org/10.1515/nleng-2016-0041
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AT rashidimm afractionalmodelofadynamicalbrusselatorreactiondiffusionsystemarisingintriplecollisionandenzymaticreactions
AT kumardevendra afractionalmodelofadynamicalbrusselatorreactiondiffusionsystemarisingintriplecollisionandenzymaticreactions
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AT kumardevendra fractionalmodelofadynamicalbrusselatorreactiondiffusionsystemarisingintriplecollisionandenzymaticreactions
AT swroopram fractionalmodelofadynamicalbrusselatorreactiondiffusionsystemarisingintriplecollisionandenzymaticreactions
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