Fractional damped oscillators and fractional forced oscillators

被引：11

作者：

Chung, Won Sang ^{[1
]}

Jung, Min

机构：

[1] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 660701, South Korea

来源：

JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2014年 / 64卷 / 02期

关键词：

Fractional calculus; Fractional mechanics; Fractional oscillator; SEQUENTIAL MECHANICS; DERIVATIVES; FORMULATION; SYSTEMS;

D O I：

10.3938/jkps.64.186

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we use fractional calculus to discuss fractional mechanics, where the time derivative is replaced with the fractional derivative of order nu. 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 that is obtained by applying the fractional derivative to the position. The fractional oscillator problem, the fractional oscillator problem with resistance and the fractional forced oscillator problem are also studied.

引用

页码：186 / 191

页数：6

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