Charging and discharging RC? circuit under Riemann-Liouville and Caputo fractional derivatives

Abstract

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? 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. © 2016 IEEE.

Authors

Abdelaty A.M., Radwan A.G., Ahmed W.A., Faied M.

Document Type

Source

2016 13th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2016, Doi:10.1109/ECTICon.2016.7561294

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