Minkowski geometry of special conformable curves
International Journal of Geometric Methods in Modern Physics, cilt.22, sa.5, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 5
- Basım Tarihi: 2025
- Doi Numarası: 10.1142/s0219887824503183
- Dergi Adı: International Journal of Geometric Methods in Modern Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: conformal derivative, Fractional derivative, Lorentz-Minkowski space, special curves
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
This paper employs the fractional derivative to investigate the effect of curves in Lorentz-Minkowski space, which is of crucial significance in geometry and physics. In the method of examining this effect, the conformable fractional derivative is chosen because it best fits the algebraic structure of differential geometry. Therefore, with the aid of conformable fractional derivatives, numerous special curves and the Frenet frame that were previously derived using classical derivatives have been reinterpreted in Lorentz-Minkowski three-space.