2022
DOI: 10.31349/revmexfis.68.041401
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Effect of fractional analysis on magnetic curves

Abstract: In this present paper, the effect of fractional analysis on magnetic curves is researched. A magnetic field is defined by the property that its divergence is zero in a three dimensional Riemannian manifold. We investigate the trajectories of the magnetic fields called as t-magnetic, n-magnetic and b-magnetic curves according to fractional derivative and integral. As it is known, there are not many studies on a geometric interpretation of fractional calculus. When examining the effect of fractional analysis on … Show more

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Cited by 7 publications
(3 citation statements)
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“…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 [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, electromagnetic fields and magnetic curves are investigated under fractional derivative by Has A. and Yılmaz B. [13,33,34].…”
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%