Response of a Duffing—Rayleigh system with a fractional derivative under Gaussian white noise excitation*
Zhang Ran-Ran, Xu Wei†, Yang Gui-Dong, Han Qun
       
Stationary PDFs of amplitude A for different coefficients of fractional derivative γ in the case of α = 0.5, ω 0 = 1.0, k = 0.3, D = 6 × 10−5, β 1 = 0.05, and β 2 = −0.05. Here the lines represent the analytical results and the dots denote Monte Carlo results.