Duffing oscillator with an external harmonic impact and derived variables fractional Remann-Liouville, is characterized by viscous friction

The paper suggested a generalization of Duffing oscillator with viscous friction hereditarity, which is represented by the operator of fractional order derivative of the variable in the Riemann-Liouville. Built explicit finite difference scheme for calculating approximate solutions, as well as the phase trajectories for different values of the control parameters.