Frenet Frame With Respect to Conformable Derivative

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GÖZÜTOK U., ÇOBAN H. A., SAĞIROĞLU Y.

FILOMAT, cilt.33, sa.6, ss.1541-1550, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1906541g
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1541-1550
  • Anahtar Kelimeler: Frenet frame, conformable derivative, conformable curve
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Conformable fractional derivative is introduced by the authors Khalil at al in 2014. In this study, we investigate the frenet frame with respect to conformable fractional derivative. Curvature and torsion of a conformable curve are defined and the geometric interpretation of these two functions is studied. Also, fundamental theorem of curves is expressed for the conformable curves and an example of the curve corresponding to a fractional differential equation is given.