Based on the analysis of integer-order and fractional-order memcapacitor models, a memcapacitor model with two fractional-orders is proposed. The related characteristics were analyzed. At the same time, this model was applied to active low-pass filter circuit. The time domain and frequency domain characteristics of the filter circuit were simulated and analyzed. The experimental results show that, compared with integer-order memcapacitor models, the proposed fractional-order memcapacitor model can adjust the cut-off frequency of the low-pass filter circuit by changing the fractional-order, and then change the filtering effect of low-pass filter circuit.