Open AccessFrenet frame with respect to conformable derivative
Author(s) -
Uğur Gözütok,
Hüsnü Anıl Çoban,
Yasemin Sağıroğlu
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1906541g
Subject(s) - conformable matrix , frenet–serret formulas , mathematics , curvature , torsion of a curve , mathematical analysis , torsion (gastropod) , fractional calculus , derivative (finance) , frame (networking) , pure mathematics , geometry , mean curvature , center of curvature , computer science , physics , medicine , telecommunications , surgery , quantum mechanics , financial economics , economics
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.