Fractional Curvatures of Equiaffine Curves in Three-Dimensional Affine Space

Year 2024, , 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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