Fractional Electromagnetic Equations Using Fractional Forms

被引：73

作者：

Baleanu, Dumitru ^{[1
,2
]}

Golmankhaneh, Ali Khalili ^{[3
]}

Golmankhaneh, Alireza Khalili ^{[3
,4
]}

Baleanu, Mihaela Cristina ^{[5
,6
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[2] Inst Space Sci, Magurele 76900, Romania

[3] Islamic Azad Univ, Dept Phys, Uromia Branch, Uromia, Iran

[4] Univ Poona, Dept Phys, Pune 411007, Maharashtra, India

[5] Univ Bucharest, Fac Phys, Bucharest, Romania

[6] Natl Mihail Sadoveanu High Sch, Bucharest, Romania

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2009年 / 48卷 / 11期

关键词：

Fractional differential forms; Fractional Caputo derivatives; Fractional Maxwell's equations; Fractional Poynting theorem; Fractional vector potential; HAMILTON FORMALISM; FORMULATION; CALCULUS; DIFFERENTIABILITY; MECHANICS; GRADIENT; SYSTEMS;

D O I：

10.1007/s10773-009-0109-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived.

引用

页码：3114 / 3123

页数：10

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