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

Yıl 2024, Cilt: 7 Sayı: 2, 99 - 112, 31.07.2024

Aykut Has Beyhan Yılmaz

https://doi.org/10.33773/jum.1508243

Öz

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.

Anahtar Kelimeler

Fractional calculus, conformable derivative, Frenet frame

Destekleyen Kurum

Kahramanmaraş Sütçü İmam Üniversitesi

Proje Numarası

2022/7-14M

Kaynakça

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