On the fractional damped oscillators and fractional forced oscillators
General Physics
2015-06-15 v1
Abstract
In this paper, we use the fractional calculus to discuss the fractional mechanics, where the time derivative is replaced with the fractional derivative of order . We deal with the motion of a body in a resisting medium where the retarding force is assumed to be proportional to the fractional velocity which is obtained by acting the fractional derivative on the position. The fractional harmonic oscillator problem, fractional damped oscillator problem and fractional forced oscillator problem are also studied.
Keywords
Cite
@article{arxiv.1302.2847,
title = {On the fractional damped oscillators and fractional forced oscillators},
author = {Won Sang Chung and Min Jung},
journal= {arXiv preprint arXiv:1302.2847},
year = {2015}
}