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

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Bibliographic Details
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
Database:	OpenAIRE

Description
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