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

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.

Keywords

• fractional reaction-diffusion brusselator system
• laplace transform method
• q-homotopy analysis transform method
• ℏand n-curves