Maxwell's equations and electromagnetic Lagrangian density in fractional form

被引：18

作者：

Jaradat, E. K. ^{[1
]}

Hijjawi, R. S. ^{[2
]}

Khalifeh, J. M. ^{[1
]}

机构：

[1] Univ Jordan, Dept Phys, Amman 11942, Jordan

[2] Mutah Univ, Dept Phys, Mutah, Jordan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 03期

关键词：

CLASSICAL FIELDS; HAMILTONIAN-FORMULATION; VARIATIONAL-PROBLEMS; LINEAR VELOCITIES; DERIVATIVES; CALCULUS; MECHANICS; SYSTEMS;

D O I：

10.1063/1.3670375

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fractional form of the electromagnetic Lagrangian density is presented using the Riemann-Liouville fractional derivative. Agrawal procedure is employed to obtain Maxwell's equations in fractional form. The Hamilton equations of motion resulting from the electromagnetic Lagrangian density are obtained. Conserved quantities, such as energy density, momentum, and Poynting's vector, are also derived using fractional Noether's theorem. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3670375]

引用

页数：9

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