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PIER PIER B PIER C PIER M PIER Letters
2011-03-01
Differential Electromagnetic Equations in Fractional Space
By
Muhammad Zubair,

    Dr. Muhammad Zubair

    Singapore university of technology and design

    Singapore

    Homepage

Muhammad Junaid Mughal,

    Dr. Muhammad Junaid Mughal

    GIK Institute of Engineering Sciences and Technology

    Pakistan

    Homepage

Qaisar Naqvi,

    Dr. Qaisar Naqvi

    Quaid-i-Azam University

    Pakistan

    Homepage

Azhar Abbas Rizvi

    Professor Azhar Abbas Rizvi

    Quaid-i-Azam University

    Pakistan

    Homepage

Progress In Electromagnetics Research, Vol. 114, 255-269, 2011
doi:10.2528/PIER11011403
Abstract
The present study deals with a novel approach for fractional space generalization of the differential electromagnetic equations. These equations can describe the behavior of electric and magnetic fields in any fractal media. A new form of vector differential operator Del, and its related differential operators, is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell equations have been worked out for fractal media. The Laplace, Poisson and Helmholtz equations in fractional space are derived by using modified vector differential operators. Also a new fractional space generalization of the potentials for static and time varying fields is presented.
Citation
Muhammad Zubair Muhammad Junaid Mughal Qaisar Naqvi Azhar Abbas Rizvi , "Differential Electromagnetic Equations in Fractional Space," Progress In Electromagnetics Research, Vol. 114, 255-269, 2011.
doi:10.2528/PIER11011403
http://www.jpier.org/PIER/pier.php?paper=11011403
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