Abstract: In view of the fact that capacitors and inductors are fractional order, fractional-order Flyback converters operating in current continuous mode（CCM） are modeled and analyzed by using fractional-order calculus R-L definition and state-space averaging method.The mean state model, boost ratio, DC static equilibrium point, inductor cur-rent ripple and the condition of CCM Flyback converter working in CCM mode are derived. Secondly, the difference between Caputo model and R-L derivative model is discussed. It is concluded that the DC static operating point and boost ratio under R-L fractional order definition are not only related to duty ratio, but also related to the order of inductance and capacitance and load. Finally, the circuit model of R-L fractional-order CCM Flyback converter was built in PSIM, and the simulation waveforms of the output voltage and inductance current of fractional-order Flyback converter were made under different fractional-order inductance and capacitance orders. By comparing the simulation results with the theoretical calculation results, the correctness of the model was verified. It is concluded that the fractional-order Flyback converter model derived from R-L definition can more accurately describe the operating characteristics of CCM fractional-order flyback converter.