Geodesic
Duffing oscillator with an external harmonic impact and derived variables fractional Remann-Liouville, is characterized by viscous friction
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 50-54

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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.
Keywords: Riemann-Liouville derivative Grunwald-Letnikova, hereditarity, Duffing oscillator, phase trajectory. 
@article{VKAM_2016_2_a7,
     author = {V. A. Kim},
     title = {Duffing oscillator with an external harmonic impact and derived variables fractional {Remann-Liouville,} is characterized by viscous friction},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {50--54},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2016_2_a7/}
}
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V. A. Kim. Duffing oscillator with an external harmonic impact and derived variables fractional Remann-Liouville, is characterized by viscous friction. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 50-54. http://geodesic.mathdoc.fr/item/VKAM_2016_2_a7/