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

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Názov:	Cα-CURVES AND THEIR Cα-FRAME IN CONFORMABLE DIFFERENTIAL GEOMETRY
Autori:	Aykut Has, Beyhan Yılmaz
Zdroj:	Volume: 7, Issue: 299-112 Journal of Universal Mathematics
Informácie o vydavateľovi:	Journal of Universal Mathematics, 2024.
Rok vydania:	2024
Predmety:	Cebirsel ve Diferansiyel Geometri, Algebraic and Differential Geometry, 0101 mathematics, 01 natural sciences, Fractional calculus, conformable derivative, Frenet frame
Popis:	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.
Druh dokumentu:	Article
Popis súboru:	application/pdf
ISSN:	2618-5660
DOI:	10.33773/jum.1508243
Prístupová URL adresa:	https://dergipark.org.tr/tr/pub/jum/issue/86441/1508243
Prístupové číslo:	edsair.doi.dedup.....d90a57d87d03f31219a871d317c4c028
Databáza:	OpenAIRE

Popis
Abstrakt:	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