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Journals / Cumhuriyet Science Journal / 2023 / Cilt: 44 - Sayı: 1

The Differential Equations of Conformable Curve in IR^2

Şeyda ÖZEL
Mehmet BEKTAŞ
Pages
143–147
Publication Date
2023-03-26
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we obtain the differential equation characterizing location vector and curvature of conformable curve in the plane R^2.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we get some characterizations of conformable curve in R^2.
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Key Findings & Data:We investigate the conformable curve in R^2.
💡
Conclusion & Impact:Finally, we obtain the differential equation characterizing location vector and curvature of conformable curve in the plane R^2.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Comformable Curve · Location Vector · Comformable Frame

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.

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Cite This Article

ÖZEL, Ş., BEKTAŞ, M. (2023). The Differential Equations of Conformable Curve in IR^2. Cumhuriyet Science Journal, Cilt: 44 - Sayı: 1, 143–147. https://ajindex.com/articles/885429

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