Study of the results of Hilbert transformation for some fractional derivatives.

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Title: Study of the results of Hilbert transformation for some fractional derivatives.
Authors: Nazeer, Nazakat1 (AUTHOR) nazakatnazeer1122@gmail.com, Akgül, Ali2,3,4 (AUTHOR), Ali, Faeem5 (AUTHOR)
Source: International Journal of Modelling & Simulation. Jun2026, Vol. 46 Issue 3, p983-992. 10p.
Subjects: Caputo fractional derivatives, Hilbert transform, Integral transforms, Fractional integrals, Fractional calculus
Abstract: Caputo Fractional Derivative is a base for the Riemann-Liouville Derivative, Katugampola fractional derivative, and other fractional derivatives. In this paper, we have illustrated several critical features of the Caputo Derivative via Hilbert Transformation that have not yet been discussed. We have also investigated the behavior of the Riemann-Liouville integral and studied the results of the k-Riemann-Liouville fractional integral with the applications of Hilbert transformation. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd 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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An: 194222428
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  Data: Study of the results of Hilbert transformation for some fractional derivatives.
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  Data: <searchLink fieldCode="AR" term="%22Nazeer%2C+Nazakat%22">Nazeer, Nazakat</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> nazakatnazeer1122@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Akgül%2C+Ali%22">Akgül, Ali</searchLink><relatesTo>2,3,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ali%2C+Faeem%22">Ali, Faeem</searchLink><relatesTo>5</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modelling+%26+Simulation%22">International Journal of Modelling & Simulation</searchLink>. Jun2026, Vol. 46 Issue 3, p983-992. 10p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Caputo+fractional+derivatives%22">Caputo fractional derivatives</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+transform%22">Hilbert transform</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+transforms%22">Integral transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+integrals%22">Fractional integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Caputo Fractional Derivative is a base for the Riemann-Liouville Derivative, Katugampola fractional derivative, and other fractional derivatives. In this paper, we have illustrated several critical features of the Caputo Derivative via Hilbert Transformation that have not yet been discussed. We have also investigated the behavior of the Riemann-Liouville integral and studied the results of the k-Riemann-Liouville fractional integral with the applications of Hilbert transformation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis Ltd 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: 10.1080/02286203.2024.2371685
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 983
    Subjects:
      – SubjectFull: Caputo fractional derivatives
        Type: general
      – SubjectFull: Hilbert transform
        Type: general
      – SubjectFull: Integral transforms
        Type: general
      – SubjectFull: Fractional integrals
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
    Titles:
      – TitleFull: Study of the results of Hilbert transformation for some fractional derivatives.
        Type: main
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            NameFull: Nazeer, Nazakat
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            NameFull: Akgül, Ali
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            NameFull: Ali, Faeem
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 46
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              Value: 3
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            – TitleFull: International Journal of Modelling & Simulation
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