THERMAL SCIENCE

International Scientific Journal

Yu Tian

,

Wen-Bo Geng

,

Shao-Hui Wang

,

Kang-Jia Wang

ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE

ABSTRACT
In recent years, the theory of local fractional calculus has been widely used in the description of the fractional circuits. This paper presents a fractal RLC-paral­lel resonant circuit (FRLC-PRC) using the local fractional derivative (LFD). The FRLC-PRC is modeled by studying the non-differentiable (ND) lumped elements, then the ND conductance is obtained with the help of the local fractional Laplace transform (LFLT) and the ND parallel-resonant angular frequency (ND PRAF) is analyzed. It is found that the FRLC-PRC becomes the ordinary one when the frac­tional order δ = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems.
KEYWORDS
fractal RLC-parallel resonant circuit, local fractional derivative, fractal circuit systems, local fractional Laplace transform
PAPER SUBMITTED: 2024-02-03
PAPER REVISED: 2024-03-10
PAPER ACCEPTED: 2024-05-09
PUBLISHED ONLINE: 2024-09-28
DOI REFERENCE: https://doi.org/10.2298/TSCI2404505T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3505 - 3510]
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On a fractal RLC-parallel resonant circuit modeled within the local fractional derivative

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