Effect of fractional analysis on magnetic curves



Título del documento: Effect of fractional analysis on magnetic curves
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000460666
ISSN: 0035-001X
Autores: 1
1
Instituciones: 1Kahramanmaras Sutcu Imam University, Faculty of Science, Kahramanmaras. Turquía
Año:
Periodo: Jul-Ago
Volumen: 68
Número: 4
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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 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 a magnetic curve, the conformable fractional derivative that best fits the algebraic structure of differential geometry derivative is used. This effect is examined with the help of examples consistent with the theory and visualized for different values of the conformable fractional derivative. The difference of this study from others is the use of conformable fractional derivatives and integrals in calculations. Fractional calculus has applications in many fields such as physics, engineering, mathematical biology, fluid mechanics, signal processing, etc. Fractional derivatives and integrals have become an extremely important and new mathematical method in solving various problems in many sciences
Disciplinas: Física y astronomía
Palabras clave: Física,
Curva magnética,
Campos vectoriales
Keyword: Derivada fraccional de tiempo conformable,
Physics,
Magnetic curve,
Vector fields,
Conformable fractional derivative
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