Analysis on the time and frequency domain for the RC electric circuit of fractional order

被引：27
|
作者：
Guia, Manule [1 ]
Gomez, Francisco [1 ]
Rosales, Juan [1 ]
机构：
[1] Univ Guanajuato, Div Ingn Campus Irapuato Salamanca, Dept Ingn Engn, Salamanca Guanajuato 36885, Mexico
来源：
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2013年 / 11卷 / 10期
关键词：
fractional calculus; Caputo derivative; electrical circuits; Mittag-Leffler function; DIFFUSION;
D O I：
10.2478/s11534-013-0236-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper provides an analysis in the time and frequency domain of an RC electrical circuit described by a fractional differential equation of the order 0 < alpha a parts per thousand currency sign 1. We use the Laplace transform of the fractional derivative in the Caputo sense. In the time domain we emphasize on the delay, rise and settling times, while in the frequency domain the interest is in the cutoff frequency, the bandwidth and the asymptotes in low and high frequencies. All these quantities depend on the order of differential equation.
引用
收藏
页码：1366 / 1371
页数：6
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