期刊
AIMS MATHEMATICS
卷 4, 期 1, 页码 64-78出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/Math.2019.1.64
关键词
fractional calculus; electrical filters; RLC circuits; frequency response; step response; Mittag-Leffler function
By introducing an auxiliary parameter, the dynamic of RLC electrical circuits of non-integer order is described by a fractional order differential equation. The order of derivative in the component models is assumed to be 0 < gamma <= 1. The time and frequency domain characteristics of the circuit is investigated, and it is shown that three different filter characteristics of low-pass, high-pass and band-pass filters are obtained. The filter parameters are determined analytically, and the results are verified numerically.
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