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

Nonlinear engineering: Modeling and application

article

Jagdev Singh¹  M.M. Rashidi²  Devendra Kumar¹  Ram Swroop⁴ 

[1] Department of Mathematics, JECRC University;Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University;ENN-Tongji Clean Energy Institute of Advanced Studies;Department of Mathematics, Arya Institute of Engineering & Technology

关键词: Fractional reaction-diffusion Brusselator system;    Laplace transform method;    q-homotopy analysis transform method;    ℏand n-curves;   

DOI  :  10.1515/nleng-2016-0041

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

Unknown