R. I. Parovik, “On the numerical solution of equations fractal oscillator with variable order fractional of time”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, Number 1(8),Pages <nobr>60

This article is cited in 7 papers

MATHEMATICAL MODELING

On the numerical solution of equations fractal oscillator with variable order fractional of time

R. I. Parovik^ab

^a Institute of Cosmophysical Researches and RadioWave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
^b Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: We propose a model of a fractal oscillator with variable fractional order. Received and investigated by numerical solution of the model. The phase trajectory.

Keywords: operator Gerasimov-Caputo, numerical solution, finite difference scheme, the phase trajectories.

UDC: 517.938

MSC: 34C26

Received: 27.04.2014

DOI: 10.18454/2079-6641-2014-8-1-60-65