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

• 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
• ISSN: 2192-8010; 2192-8029

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.