Herein, we extend the framework of Lie symmetry group theory and conservation laws to analyze the (2+1)-dimensional time-fractional Sakovich equation ((2+1)D-TFSE). The distinctive feature of this equation, setting it apart from conventional time-fractional partial differential equations(TFPDEs), lies in its unique combination of the Riemann-Liouville time-fractional derivative and the integer-order derivative with respect to x. Therefore, we first transform the original equation into the form of a system of equations containing only fractional order derivatives in time, and then apply Lie symmetry methods to this system of equations. After finding these symmetries, the system of equations is transformed into a lower dimensional form and its power series solution is obtained by means of Erdélyi-Kober (E-K) fractional order differential operators. Finally, a new Noether’s theorem is used to establish a conservation law for the system of equations.