Differential Electromagnetic Equations in Fractional Space

Abstract

In this chapter a novel generalization of differential electromagnetic equations in fractional space is provided. Firstly, basic vector differential operators are generalized in fractional space and then using these fractional operators Maxwell’s, Laplace’s, Poisson’s and Helmholtz’s equations have been worked out in fractional space. The differential electromagnetic equations in fractional space, established in this chapter, provide a basis for application of the concept of fractional space in practical electromagnetic wave propagation and scattering problems in fractal media.KeywordsLaplacian OperatorFractal MediumFractional SpaceMagnetic Scalar PotentialFractional Laplacian OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.