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Cα-CURVES AND THEIR Cα-FRAME IN CONFORMABLE DIFFERENTIAL GEOMETRY

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Title: Cα-CURVES AND THEIR Cα-FRAME IN CONFORMABLE DIFFERENTIAL GEOMETRY
Authors: Aykut Has, Beyhan Yılmaz
Source: Volume: 7, Issue: 299-112
Journal of Universal Mathematics
Publisher Information: Journal of Universal Mathematics, 2024.
Publication Year: 2024
Subject Terms: Cebirsel ve Diferansiyel Geometri, Algebraic and Differential Geometry, 0101 mathematics, 01 natural sciences, Fractional calculus, conformable derivative, Frenet frame
Description: The aim of this study is to redesign the space curve and its Frenet framework, which are extremely important in terms of differential geometry, by using conformable derivative arguments. In this context, conformable counterparts of basic geometric concepts such as angle, vector, line, plane and sphere have been obtained. The advantages of the conformable derivative over the classical (Newton) derivative are mentioned. Finally, new concepts produced by conformable derivative are supported with the help of examples and figures.
Document Type: Article
File Description: application/pdf
ISSN: 2618-5660
DOI: 10.33773/jum.1508243
Access URL: https://dergipark.org.tr/tr/pub/jum/issue/86441/1508243
Accession Number: edsair.doi.dedup.....d90a57d87d03f31219a871d317c4c028
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  Data: Cα-CURVES AND THEIR Cα-FRAME IN CONFORMABLE DIFFERENTIAL GEOMETRY
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  Data: <searchLink fieldCode="AR" term="%22Aykut+Has%22">Aykut Has</searchLink><br /><searchLink fieldCode="AR" term="%22Beyhan+Yılmaz%22">Beyhan Yılmaz</searchLink>
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  Data: Volume: 7, Issue: 299-112<br />Journal of Universal Mathematics
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  Data: Journal of Universal Mathematics, 2024.
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  Data: 2024
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  Data: <searchLink fieldCode="DE" term="%22Cebirsel+ve+Diferansiyel+Geometri%22">Cebirsel ve Diferansiyel Geometri</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+and+Differential+Geometry%22">Algebraic and Differential Geometry</searchLink><br /><searchLink fieldCode="DE" term="%220101+mathematics%22">0101 mathematics</searchLink><br /><searchLink fieldCode="DE" term="%2201+natural+sciences%22">01 natural sciences</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22conformable+derivative%22">conformable derivative</searchLink><br /><searchLink fieldCode="DE" term="%22Frenet+frame%22">Frenet frame</searchLink>
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  Data: The aim of this study is to redesign the space curve and its Frenet framework, which are extremely important in terms of differential geometry, by using conformable derivative arguments. In this context, conformable counterparts of basic geometric concepts such as angle, vector, line, plane and sphere have been obtained. The advantages of the conformable derivative over the classical (Newton) derivative are mentioned. Finally, new concepts produced by conformable derivative are supported with the help of examples and figures.
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      – SubjectFull: Cebirsel ve Diferansiyel Geometri
        Type: general
      – SubjectFull: Algebraic and Differential Geometry
        Type: general
      – SubjectFull: 0101 mathematics
        Type: general
      – SubjectFull: 01 natural sciences
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: conformable derivative
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      – SubjectFull: Frenet frame
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      – TitleFull: Cα-CURVES AND THEIR Cα-FRAME IN CONFORMABLE DIFFERENTIAL GEOMETRY
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              Type: published
              Y: 2024
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