Stability analysis of a stochastic fractional order band pass filter circuit system

In this manuscript, the modeling of a Band-Pass Filter (BPF) circuit is studied by using a fractional electrical elements. Consequently, the stochastic fractional order system is considered by adding external white noise to the input voltage. The stability of a proposed circuit system is analyzed by means of Banach fixed point approach. Finally, numerical simulation is demonstrated for the stability of a fractional order BPF circuit system.