Fractional equiaffine curvatures of curves in 3-dimensional affine space

Authors

  • Muhittin Evren Aydin Firat University
  • Seyma Kaya

Keywords:

Affine differential geometry; Caputo fractional derivative; Equiaffine arclength; Equiaffine curvature

Abstract

In this study, we investigate the equiaffine invariants of a parameterized curve in the 3-dimensional affine space R3   by using Caputo fractional derivative operator. We introduce the so-called fractional equiaffine arclength function for a non-degenerate parametrized curve, providing the fractional equiaffine equations of Frenet type. Furthermore, we give the relations between the fractional and standard equiaffine curvatures.

International Journal of Maps in Mathematics Volume 6 Issue 1 2023

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Published

2023-02-23

How to Cite

Aydin, M. E., & Kaya, S. (2023). Fractional equiaffine curvatures of curves in 3-dimensional affine space. International Journal of Maps in Mathematics, 6(1), 67–82. Retrieved from http://www.journalmim.com/index.php/journalMIM/article/view/125

Issue

Vol. 6 No. 1 (2023): International Journal of Maps in Mathematics

Section

Articles

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