Analysis of fractional magnetized force field flow in a unit sphere via Fermi-Walker fractional derivative

Meltem Ogrenmis; Muhammad Abbas; Alper Osman Ogrenmis; Miguel Vivas-Cortez; Omer Ali Idris Elzibar

doi:10.1515/phys-2025-0293

Analysis of fractional magnetized force field flow in a unit sphere via Fermi-Walker fractional derivative

Meltem Ogrenmis
, Muhammad Abbas
, Alper Osman Ogrenmis
, Miguel Vivas-Cortez
, Omer Ali Idris Elzibar

Research output: Contribution to journal › Article › peer-review

Abstract

This study explores the differential geometry of a charged particle's motion on a unit sphere S2 within specific force fields, incorporating fractional calculus. It formulates the fractional derivative for spherical vector fields, characterizes magnetic flows via Lorentz fractional forces, and obtains the parallel transport law and constant-velocity motion equations for spherical fractional curves through fractional differentiation.

Original language	English
Article number	20250293
Journal	Open Physics
Volume	24
Issue number	1
DOIs	https://doi.org/10.1515/phys-2025-0293
State	Published - Jan 1 2026

Keywords

Fermi-Walker spherical derivative
spherical fractional-order curves
spherical fractional-order derivative

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10.1515/phys-2025-0293

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title = "Analysis of fractional magnetized force field flow in a unit sphere via Fermi-Walker fractional derivative",

abstract = "This study explores the differential geometry of a charged particle's motion on a unit sphere S2 within specific force fields, incorporating fractional calculus. It formulates the fractional derivative for spherical vector fields, characterizes magnetic flows via Lorentz fractional forces, and obtains the parallel transport law and constant-velocity motion equations for spherical fractional curves through fractional differentiation.",

keywords = "Fermi-Walker spherical derivative, spherical fractional-order curves, spherical fractional-order derivative",

author = "Meltem Ogrenmis and Muhammad Abbas and Ogrenmis, \{Alper Osman\} and Miguel Vivas-Cortez and Elzibar, \{Omer Ali Idris\}",

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AU - Elzibar, Omer Ali Idris

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AB - This study explores the differential geometry of a charged particle's motion on a unit sphere S2 within specific force fields, incorporating fractional calculus. It formulates the fractional derivative for spherical vector fields, characterizes magnetic flows via Lorentz fractional forces, and obtains the parallel transport law and constant-velocity motion equations for spherical fractional curves through fractional differentiation.

KW - Fermi-Walker spherical derivative

KW - spherical fractional-order curves

KW - spherical fractional-order derivative

UR - https://www.scopus.com/pages/publications/105042092970

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Analysis of fractional magnetized force field flow in a unit sphere via Fermi-Walker fractional derivative

Abstract

Keywords

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