2022
DOI: 10.1016/j.ijleo.2022.169067
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Obtaining fractional electromagnetic curves in optical fiber using fractional alternative moving frame

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Cited by 14 publications
(8 citation statements)
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“…For instance, Gozutok U. et al are reconstructed the Frenet frame, which is the most commonly used structure in characterizing curves, using the conformable derivative [15]. Furthermore, Has A. and Yilmaz B. are conducted in-depth studies on curves and surfaces [16][17][18][19]31]. These research works demonstrate that fractional calculus provides a different perspective in the field of geometry and that the conformable derivative is a more effective tool for understanding and characterizing the geometrical structures in fractional analyses.…”
Section: Introductionmentioning
confidence: 98%
“…For instance, Gozutok U. et al are reconstructed the Frenet frame, which is the most commonly used structure in characterizing curves, using the conformable derivative [15]. Furthermore, Has A. and Yilmaz B. are conducted in-depth studies on curves and surfaces [16][17][18][19]31]. These research works demonstrate that fractional calculus provides a different perspective in the field of geometry and that the conformable derivative is a more effective tool for understanding and characterizing the geometrical structures in fractional analyses.…”
Section: Introductionmentioning
confidence: 98%
“…In [35,36], Has et al investigated the many special curves by using conformable fractional derivatives. Electromagnetic curves and some special magnetic curves with the help of fractional derivatives, [37][38][39].…”
Section: Introductionmentioning
confidence: 99%
“…In addition, some special curves and characterizations of curve pairs are also investigated with fractional analysis [14,15]. Moreover, the effect of fractional analysis on magnetic curves, which is an important application area in physics, is investigated [16,33]. Although there are many types of fractional derivatives, the geometry of curves and surfaces can be explained more clearly thanks to differentiation rules such as the product rule and quotient rule in conformable fractional derivatives.…”
Section: Introductionmentioning
confidence: 99%