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Time and frequency responses of non-integer order RLC circuits

Mehmet Emir Koksal

*Corresponding author: Mehmet Emir Koksal mekoksal@omu.edu.tr

Math2019,1,64doi:10.3934/Math.2019.1.64

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 $0<\gamma\leq 1$. 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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