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Progress In Electromagnetics Research Letters
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THE WAVE EQUATION AND GENERAL PLANE WAVE SOLUTIONS IN FRACTIONAL SPACE

By M. Zubair, M. J. Mughal, and Q. A. Naqvi

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Abstract:
This work presents the analytical solution of vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional space. The obtained solution is a generalization of wave equation from integer dimensional space to a non-integer dimensional space. The classical results are recovered when integer-dimensional space is considered.

Citation:
M. Zubair, M. J. Mughal, and Q. A. Naqvi, "The Wave Equation and General Plane Wave Solutions in Fractional Space," Progress In Electromagnetics Research Letters, Vol. 19, 137-146, 2010.
doi:10.2528/PIERL10102103

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