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

H Durmaz, Z Özdemir, Y Sekerci - Physica Scripta, 2024 - iopscience.iop.org
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 …

On the geometric and physical properties of conformable derivative

A Has, B Yılmaz, D Baleanu - Mathematical Sciences and …, 2024 - dergipark.org.tr
In this article, we explore the advantages geometric and physical implications of the
conformable derivative. One of the key benefits of the conformable derivative is its ability to …

Measurement and calculation on conformable surfaces

A Has, B Yılmaz - Mediterranean Journal of Mathematics, 2023 - Springer
In this study, some basic concepts related to the surface are examined with the help of
conformable fractional analysis. As known, the best thing that makes fractional analysis …

Effect of fractional analysis on some special curves

A HAS, B YILMAZ - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
In this study, the effect of fractional derivatives, whose application area is increasing day by
day, on curves is investigated. As it is known, there are not many studies on a geometric …

ruled surfaces respect to direction curve in fractional differential geometry

A Has, B Yılmaz, KH Ayvacı - Journal of Geometry, 2024 - Springer
Conformable fractional calculus is a relatively new branch of mathematics that seeks to
extend traditional calculus to include non-integer order derivatives and integrals. This new …

[PDF][PDF] On Caputo fractional Bertrand curves in E 3 and E 3

M Tasdemira, EO Canfesb, B Uzunc - Filomat, 2024 - pmf.ni.ac.rs
In this article, we examine Bertrand curves in E3 and E3 1 by using the Caputo fractional
derivative which we call α-Bertrand Curves. First, we consider α-Bertrand curves in E3 and …

Utilizing the Caputo fractional derivative for the flux tube close to the neutral points

H Durmaz, H Ceyhan, Z Özdemir… - … Methods in the Applied …, 2024 - Wiley Online Library
This study examines how fractional derivatives affect the theory of curves and related
surfaces, an application area that is expanding daily. There has been limited research on …

helices and slant helices in fractional differential geometry

A Has, B Yilmaz - Arabian Journal of Mathematics, 2024 - Springer
In this study, the theory of curves is reconstructed with fractional calculus. The condition of a
naturally parametrized curve is described, and the orthonormal conformable frame of the …

A new approach to the directional derivative of fractional order

A Toplama - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
The fractional derivative approximations offer many approaches to understanding real‐world
problems. The conformable fractional derivative operator that is one of the fractional …

Fractional measurements and calculations on conformable surfaces

A Has, B Yılmaz - 2022 - researchsquare.com
In this study, some basic concepts related to the surface are examined with the help of
conformable fractional analysis. As known, the best thing that makes fractional analysis …