Fractional approach of Maxwell equations in the curved spacetime

被引：6

作者：

Abd El-Salam, Fawzy A. ^{[1
]}

机构：

[1] Taibah Univ, Fac Sci, Dept Math, Al Madinah, Saudi Arabia

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2013年 / 7卷 / 03期

关键词：

Fractional electromagnetism; Covariant fractional derivative; Fractional continuity;

D O I：

10.1016/j.jtusci.2013.04.005

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper some basic definitions of fractional vector calculus are introduced. A fractional form of Maxwell's equations using these definitions are obtained. The first pair of Maxwell's equations are generalized. The gravity is introduced into Maxwell's equations. Some fractional covariant forms are deduced. The fractional Maxwell's field strength tensor is unchanged under a gauge transformation. Fractional continuity equation and the charge conservation are proved. (C) 2013 Taibah University. Production and hosting by Elsevier B.V. All rights reserved.

引用

页码：173 / 179

页数：7

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