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 values of fractional order α in the case of ω 0 = 1.4, k = 4.0, γ = 3.0, D = 0.06, β 1 = 0.05, and β 2 = −0.05. Here the lines represent the analytical results and the dots denote the Monte Carlo results.