Charging and Discharging RCα Circuit Under Riemann-Liouville and Caputo Fractional Derivatives

被引：0

作者：

AbdelAty, Amr M. ^{[1
]}

Radwan, Ahmed G. ^{[2
,3
]}

Ahmed, Waleed A. ^{[1
]}

Faied, Mariam ^{[4
]}

机构：

[1] Fayoum Univ, Dept Engn Math & Phys, Fac Engn, Al Fayyum, Egypt

[2] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Giza 12613, Egypt

[3] Nile Univ, NISC, Giza, Egypt

[4] Fayoum Univ, Fac Engn, Dept Elect Engn, Al Fayyum, Egypt

来源：

2016 13TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING/ELECTRONICS, COMPUTER, TELECOMMUNICATIONS AND INFORMATION TECHNOLOGY (ECTI-CON) | 2016年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the effect of non-zero initial condition on the time domain responses of fractional-order systems using Caputo and Riemann-Liouville (RL) fractional definitions are discussed. Analytical formulas were derived for the step and square wave responses of fractional-order RC alpha circuit under RL and Caputo operators for non-zero initial condition. Moreover, a simulation scheme for fractional state-space systems with non-zero initial condition is introduced.

引用

页数：4

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