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

[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.

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