Differential Geometry of Curves in Euclidean 3-Space with Fractional Order

被引：14
|
作者：
Aydin, Muhittin Evren [1 ]
Bektas, Mehmet [1 ]
Ogrenmis, Alper Osman [1 ]
Yokus, Asif [1 ]
机构：
[1] Firat Univ, Fac Sci, Dept Actuary, TR-23200 Elazig, Turkey
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2021年 / 14卷 / 01期
关键词：
Fractional derivative; space curve; fundamental theorem; curvature; torsion; CALCULUS; MODELS;
D O I：
10.36890/IEJG.751009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, for a given curve in the Euclidean 3-space R-3 we introduce new invariants such as arc-length, curvature and torsion with fractional-order and provide certain relations between these and the standart invariants. We obtain the Frenet-Serret formulas in R-3 and then construct the ways of determining a curve in R-2 and R-3 in terms of the new invariants. Several examples are also given by figures.
引用
收藏
页码：132 / 144
页数：13
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