分数微分几何学中的 $${mathcal {C}}_\alpha -$ 螺旋和 $${mathcal {C}}_\alpha -$ 斜螺旋

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2024-04-15 DOI:10.1007/s40065-024-00460-5

Aykut Has, Beyhan Yilmaz

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引用次数: 0

摘要

本研究用分数微积分重构了曲线理论。描述了自然参数化曲线的条件，并定义了自然参数化曲线任意点的正交保角框架。借助可保形曲线任意点上的可保形框架元素，定义了可保形螺旋曲线和可保形斜螺旋曲线。最后，为了更好地理解这些理论，我们给出了一些示例，并借助数学知识绘制了示例图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$${\mathcal {C}}_\alpha -$helices and ${\mathcal {C}}_\alpha -$ slant helices in fractional differential geometry$

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${\mathcal {C}}_\alpha -$helices and ${\mathcal {C}}_\alpha -$ slant helices in fractional differential geometry

In this study, the theory of curves is reconstructed with fractional calculus. The condition of a naturally parametrized curve is described, and the orthonormal conformable frame of the naturally parametrized curve at any point is defined. Conformable helix and conformable slant helix curves are defined with the help of conformable frame elements at any point of the conformable curve. The characterizations of these curves are obtained in parallel with the conformable analysis Finally, examples are given for a better understanding of the theories and their drawings are given with the help of Mathematics.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.