Fractional equiaffine curvatures of curves in 3-dimensional affine space
Keywords:
Affine differential geometry; Caputo fractional derivative; Equiaffine arclength; Equiaffine curvatureAbstract
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.
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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 https://simadp.com/journalmim/article/view/125
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