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

Durmaz, Hasan; Özdemir, Zehra; Sekerci, Yadigar


Hasan Durmaz

Zehra Özdemir

Yadigar Sekerci


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.


Durmaz, H., Özdemir, Z., & Sekerci, Y. (2024). Fractional approach to evolution of the magnetic field lines near the magnetic null points. Physica Scripta, 99(2), Article 025239.

Journal Article Type Article
Acceptance Date Jan 9, 2024
Online Publication Date Jan 19, 2024
Publication Date Feb 1, 2024
Deposit Date Jun 24, 2024
Publicly Available Date Jan 20, 2025
Journal Physica Scripta
Print ISSN 0031-8949
Electronic ISSN 1402-4896
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 99
Issue 2
Article Number 025239
Keywords Fractional derivatives; Numerical simulation; Computational modeling; Applications to physics; Vector fields; Magnetic flows
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