<p>In this paper, Lie symmetry analysis method is used to analyze the coupled (2+1)-dimensional time-fractional Burgers’ equations, which is is an important class of equations that describe chemical reaction processes. The proposed method achieves the goal of finding exact solutions by repeatedly reducing the dimensionality of the studied equations with Riemann-Liouville fractional derivative. For the reduced equations with Erdélyi-Kober fractional derivative, we obtain their convergent power series solutions and present the dynamic behaviors of the truncated power series solutions graphically for some different fractional orders. Furthermore, we construct their conservation laws for all the obtained Lie symmetries based on a general method developed by Ibragimov.</p>