The issue of frequency control and voltage control in the shipboard microgrid (SM) is of great importance. Due to the presence of load disturbances and disturbances caused by renewable energy sources (RES) in the SM, as well as the uncertainty of the parameters of this system, the frequency control and voltage control in this system will be more complicated. LFC and AVR are responsible for frequency control and voltage control in this system, respectively. In this paper, the DO-FOPID controller is designed in the structure of LFC and AVR by considering the effect of time delay in the microgrid. Also, the GWO is used to adjust the parameters of the proposed controller due to its fast convergence and simple structure. This controller provides more accurate adjustment for the shipboard microgrid due to having two different fractional order parts for each of the integrator and derivative parts of the FOPID controller, and it will also improve the performance of LFC and AVR against disturbances to the microgrid and uncertainties of the system parameters. Finally, it will improve the steady-state error caused by frequency and voltage deviations. In order to compare the proposed method, several scenarios have been simulated, and the proposed method has been compared with the 2DOF-PID(GOA) and FOPID controllers, and the results show the superiority of the proposed control method (DO-FOPID(GWO)) compared to other control methods. In fact, the control method has been able to improve the maximum frequency deviations and maximum voltage deviations caused by disturbances on the SM and uncertainties by 64% and 60%, respectively.