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

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Title: ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE.
Authors: Yu TIAN1, Wen-Bo GENG2, Shao-Hui WANG1, Kang-Jia WANG3 kangjiaw@hpu.edu.cn
Source: Thermal Science. 2024, Vol. 28 Issue 4B, p3505-3510. 6p.
Subjects: Lumped elements
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 S = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems. [ABSTRACT FROM AUTHOR]
Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 180089849
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PubType: Academic Journal
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  Label: Title
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  Data: ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE.
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  Data: <searchLink fieldCode="AR" term="%22Yu+TIAN%22">Yu TIAN</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wen-Bo+GENG%22">Wen-Bo GENG</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Shao-Hui+WANG%22">Shao-Hui WANG</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Kang-Jia+WANG%22">Kang-Jia WANG</searchLink><relatesTo>3</relatesTo><i> kangjiaw@hpu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Thermal+Science%22">Thermal Science</searchLink>. 2024, Vol. 28 Issue 4B, p3505-3510. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Lumped+elements%22">Lumped elements</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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 S = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Thermal Science is the property of Society of Thermal Engineers of Serbia and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.2298/TSCI2404505T
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 3505
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      – SubjectFull: Lumped elements
        Type: general
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      – TitleFull: ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE.
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            NameFull: Yu TIAN
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            NameFull: Wen-Bo GENG
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            NameFull: Shao-Hui WANG
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            NameFull: Kang-Jia WANG
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              M: 06
              Text: 2024
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              Y: 2024
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            – TitleFull: Thermal Science
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