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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 2

On special ruled surface pairs in fractional calculus

Zehra Nur Koçak(ANKARA HACI BAYRAM VELI UNIVERSITY)0009-0001-1631-2063
Emel Karaca(Ankara Hacı Bayram Veli Üniversitesi)0000-0003-0703-939X
Sayfa
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Yayın Tarihi
2025-06-19
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give examples to verify the results.

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Amaç & Hipotez:In this paper, we extend the theory of special fractional curve pairs (i.e., F-Bertrand, FMannheim, and F-involute-evolute curve pairs) to fractional ruled surfaces with the perspective of fractional calculus.
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Temel Bulgular & Veri:Moreover, considering the chain rules in fractional calculus, some significant theorems are proved, and the developability conditions are examined by calculating the distribution parameters.
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Sonuç & Katkı:Finally, we give examples to verify the results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fractional derivative and integrals · ruled surface · special surfaces

Abstract

In this paper, we extend the theory of special fractional curve pairs (i.e., F-Bertrand, FMannheim, and F-involute-evolute curve pairs) to fractional ruled surfaces with the perspective of fractional calculus. Next, we characterize two fractional ruled surfaces, offset in the senses of F-Bertrand, F-Mannheim, and F-involute-evolute. Moreover, considering the chain rules in fractional calculus, some significant theorems are proved, and the developability conditions are examined by calculating the distribution parameters. Finally, we give examples to verify the results.

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Bu Makaleye Atıf Yap

Koçak, Z. N., Karaca, E. (2025). On special ruled surface pairs in fractional calculus. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 2. https://doi.org/10.31801/cfsuasmas.1500845

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