Generic analytical models of memelement and inverse memelement with time-dependent memory effects.

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Title: Generic analytical models of memelement and inverse memelement with time-dependent memory effects.
Authors: Banchuin, Rawid1 (AUTHOR) rawid.ban@siam.edu
Source: COMPEL. 2023, Vol. 42 Issue 6, p1669-1689. 21p.
Subjects: Memory
Abstract: Purpose: The purpose of this paper is to originally present the generic analytical models of memelement and inverse memelement with time-dependent memory effect. Design/methodology/approach: The variable order forward Grünwald–Letnikov fractional derivative and the memristor and inverse memristor models proposed by Fouda et al. have been adopted as the basis. Both analytical and numerical studies have been conducted. The applications to the candidate practical memristor and inverse memelements have also been presented. Findings: The generic analytical models of memelement and inverse memelement with time-dependent memory effect, the simplified ones for DC and AC signal-based analyses and the equations of crucial parameters have been derived. Besides the well-known opposite relationships with frequency, the Lissajous patterns of memelement and inverse memelement also use the opposite relationships with the time. The proposed models can be well applied to the practical elements. Originality/value: To the best of the authors' knowledge, for the first time, the models' memelement and inverse memelement with time-dependent memory effect have been presented. A new contrast between these elements has been discovered. The resulting models are applicable to the practical elements. [ABSTRACT FROM AUTHOR]
Copyright of COMPEL is the property of Emerald Publishing Limited 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
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  Data: Generic analytical models of memelement and inverse memelement with time-dependent memory effects.
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  Data: <searchLink fieldCode="AR" term="%22Banchuin%2C+Rawid%22">Banchuin, Rawid</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rawid.ban@siam.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22COMPEL%22">COMPEL</searchLink>. 2023, Vol. 42 Issue 6, p1669-1689. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Memory%22">Memory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Purpose: The purpose of this paper is to originally present the generic analytical models of memelement and inverse memelement with time-dependent memory effect. Design/methodology/approach: The variable order forward Grünwald–Letnikov fractional derivative and the memristor and inverse memristor models proposed by Fouda et al. have been adopted as the basis. Both analytical and numerical studies have been conducted. The applications to the candidate practical memristor and inverse memelements have also been presented. Findings: The generic analytical models of memelement and inverse memelement with time-dependent memory effect, the simplified ones for DC and AC signal-based analyses and the equations of crucial parameters have been derived. Besides the well-known opposite relationships with frequency, the Lissajous patterns of memelement and inverse memelement also use the opposite relationships with the time. The proposed models can be well applied to the practical elements. Originality/value: To the best of the authors' knowledge, for the first time, the models' memelement and inverse memelement with time-dependent memory effect have been presented. A new contrast between these elements has been discovered. The resulting models are applicable to the practical elements. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of COMPEL is the property of Emerald Publishing Limited 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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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1108/COMPEL-03-2023-0085
    Languages:
      – Code: eng
        Text: English
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        PageCount: 21
        StartPage: 1669
    Subjects:
      – SubjectFull: Memory
        Type: general
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      – TitleFull: Generic analytical models of memelement and inverse memelement with time-dependent memory effects.
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            – D: 01
              M: 11
              Text: 2023
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              Y: 2023
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              Value: 42
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