<p>This study investigates the solution of Variational Iteration Method (VIM) to analyze fractional-order Brusselator system, which models non-linear fractional-order differential equations. The study aims to derive approximate analytical solutions using the Caputo definition of fractional derivatives and compare them with numerical solutions from MATLAB’s ode15s function. The solutions are obtained by performing the following approximations iteratively, altering the Lagrange multipliers of the correction functional and applying iteration. The results demonstrate convergence between the two methods, underscoring VIM’s effectiveness in solving fractional-order Brusselator system in maintained chemical reactions. The foundation of this approach lies in the addition of the equation’s correction functional. The numerical results indicate that the outcomes derived from VIM and the numerical solutions converge, starting from the initial approximation.</p>