Abstract
In this paper, we present an algorithm by using the homotopy analysis method (HAM), Adomian decomposition method (ADM) and variational iteration method (VIM) to find the approximate solutions of the space-time fractional cubic isothermal autocatalytic chemical system (STFCIACS). The HAM, ADM and VIM approximate solutions are evaluated and compared by using the computation program Mathematica and excellent results are obtained.