Fractional Curvatures of Equiaffine Curves in Three-Dimensional Affine Space

Year 2024, Issue: 46, 11 - 22, 29.03.2024

Meltem Öğrenmiş

https://doi.org/10.53570/jnt.1399545

Cited By: 1

Abstract

This paper presents a method for computing the curvatures of equiaffine curves in three-dimensional affine space by utilizing local fractional derivatives. First, the concepts of $\alpha$-equiaffine arc length and $\alpha$-equiaffine curvatures are introduced by considering a general local involving conformable derivative, V-derivative, etc. In fractional calculus, equiaffine Frenet formulas and curvatures are reestablished. Then, it presents the relationships between the equiaffine curvatures and $\alpha$-equiaffine curvatures. Furthermore, graphical representations of equiaffine and $\alpha$-equiaffine curvatures illustrate their behavior under various conditions.

Keywords

Fractional derivative , equiaffine curvatures , affine space

Ethical Statement

Çalışmada etik beyana gerek duyulacak bir veri kullanılmamıştır.

Supporting Institution

Çalışma hazırlanırken herhangi bir kurum tarafından maddi destek sağlanmamıştır.

Project Number

-

Thanks

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