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Time and frequency responses of non-integer order RLC circuits

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

Special Issues: New trends of numerical and analytical methods with application to real world models for instance RLC with new nonlocal operators

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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© 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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