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THERMAL SCIENCE
International Scientific Journal
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A NEW RLC SERIES-RESONANT CIRCUIT MODELED BY LOCAL FRACTIONAL DERIVATIVE
ABSTRACT
The local fractional derivative has gained more and more attention in the field of fractal electrical circuits. In this paper, we propose a new ζ-order RLC** resonant circuit described by the local fractional derivative for the first time. By studying the non-differentiable lumped elements, the non-differentiable equivalent impedance is obtained with the help of the local fractional Laplace transform. Then the non-differentiable resonant angular frequency is studied and the non-differentiable resonant characteristic is analyzed with different input signals and parameters, where it is observed that the ζ-order RLC resonant circuit becomes the ordinary one for the special case when the fractional order ζ = 1. The obtained results show that the local fractional derivative is a powerful tool in the description of fractal circuit systems.
KEYWORDS
fractal circuit systems, local fractional Laplace transform, resonant circuit, local fractional derivative
PAPER SUBMITTED: 2021-04-20
PAPER REVISED: 2021-07-14
PAPER ACCEPTED: 2021-07-25
PUBLISHED ONLINE: 2021-12-24
DOI REFERENCE: https://doi.org/10.2298/TSCI2106569D
CITATION EXPORT: view in browser or download as text file
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© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence