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Time and frequency responses of non-integer order RLC circuits

Department of Mathematics, Ondokuz Mayis University, 55139 Atakum Samsun, Turkey

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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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Citation: Mehmet Emir Koksal. Time and frequency responses of non-integer order RLC circuits. AIMS Mathematics, 2019, 4(1): 64-78. doi: 10.3934/Math.2019.1.64

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