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

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Bibliographische Detailangaben
Titel:	Cα-CURVES AND THEIR Cα-FRAME IN CONFORMABLE DIFFERENTIAL GEOMETRY
Autoren:	Aykut Has, Beyhan Yılmaz
Quelle:	Volume: 7, Issue: 299-112 Journal of Universal Mathematics
Verlagsinformationen:	Journal of Universal Mathematics, 2024.
Publikationsjahr:	2024
Schlagwörter:	Cebirsel ve Diferansiyel Geometri, Algebraic and Differential Geometry, 0101 mathematics, 01 natural sciences, Fractional calculus, conformable derivative, Frenet frame
Beschreibung:	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.
Publikationsart:	Article
Dateibeschreibung:	application/pdf
ISSN:	2618-5660
DOI:	10.33773/jum.1508243
Zugangs-URL:	https://dergipark.org.tr/tr/pub/jum/issue/86441/1508243
Dokumentencode:	edsair.doi.dedup.....d90a57d87d03f31219a871d317c4c028
Datenbank:	OpenAIRE

Beschreibung
Abstract:	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.
ISSN:	26185660
DOI:	10.33773/jum.1508243