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The Differential Equations of Conformable Curve in IR^2
Abstract
In this paper, we get some characterizations of conformable curve in R^2. We investigate the conformable curve in R^2. We define the tangent vector of the curve using the conformable derivative and the arc parameter s. Then, we get the Frenet formulas with conformable frames. Moreover, we define the location vector of conformable curve according to Frenet frame in the plane R^2.
Finally, we obtain the differential equation characterizing location vector and curvature of conformable curve in the plane R^2.
Keywords
Supporting Institution
FIRAT ÜNİVERSİTESİ
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References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
March 26, 2023
Submission Date
March 2, 2022
Acceptance Date
December 19, 2022
Published in Issue
Year 2023 Volume: 44 Number: 1