期刊
APPLIED MATHEMATICAL MODELLING
卷 40, 期 21-22, 页码 9079-9094出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2016.05.041
关键词
Fractional calculus; Electrical circuits; Riemann-Liouville fractional derivative; Liouville-Caputo fractional derivative; Caputo-Fabrizio fractional derivative; Mittag-Leffler function
资金
- CONACYT: Catedras CONACYT [2461]
This paper deals with the application of fractional derivatives in the modeling of electrical circuits RC, RL, RLC, power electronic devices and nonlinear loads, the equations are obtained by replacing the time derivative by fractional derivatives of type Riemann-Liouville, Grfinwald-Letnikov, Liouville-Caputo and the fractional definition recently introduced by Caputo and Fabrizio. The fractional equations in the time domain considers derivatives in the range of alpha is an element of (0; 1], analytical and numerical results are presented considering different source terms introduced in the fractional equation. The resulting solutions modified the capacitance, inductance, also, the resistance exhibits fluctuations or fractality of time in different scales. Furthermore, the results showed the existence of heterogeneities in the electrical components causing irreversible dissipative effects. The classical models are recovered when the order of the fractional derivatives are equal to 1. (C) 2016 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据