Effect of fractional analysis on some special curves

Has, Aykut; Yılmaz, Beyhan

doi:10.55730/1300-0098.3438

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Fractional Meanings Of the Motion Of A Charged Particle In T...2

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2024

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“…A charged particle follows a right circular-helix trajectory along a parallel magnetic field in Euclidean space. Moreover, the axis of this helix is the given parallel Killing vector field [41,49]. According to the results made with fractional derivative, while the value of α is in the Figure 6.…”

Section: Fractional Meanings Of the Motion Of A Charged Particle In T...mentioning

confidence: 96%

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Fractional approach to evolution of the magnetic field lines near the magnetic null points

Durmaz,

Özdemir,

Sekerci

2024

Phys. Scr.

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In this work, the magnetic reconnection model near null points in 3D space will be investigated using fractional calculations in the 3D magnetohydrodynamic framework. For the initial magnetic configuration (without external currents), we reformulated the numerically solved boundary initial value problem using fractional calculations. We studied the 3D Magnetic reconnection states and the behavior of the magnetic field around the null point and the null line. We also analyzed the fractional significance of charged particle motions in Killing magnetic fields. Moreover, the obtained results were visualized, and a comparison was made between the results obtained from integer and fractional calculations.

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Section: Fractional Meanings Of the Motion Of A Charged Particle In T...mentioning

confidence: 96%

“…where t α tangent vector, b α binormal vector of γ, and Ω is a constant function of the angle at which the charged particle enters the magnetic field [49]. Now let's determine the magnetic curves associated with the parallel Killing vector field using fractional computation.…”

Section: Fractional Meanings Of the Motion Of A Charged Particle In T...mentioning

confidence: 99%