2012
DOI: 10.1007/978-3-642-25358-4
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Electromagnetic Fields and Waves in Fractional Dimensional Space

Abstract: The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

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Cited by 110 publications
(72 citation statements)
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“…The electrostatic field distribution as well as the electrostatic force acting on the movable electrode of Fig. 3, is solution of the following Laplace equation obtained from the MaxwelleLaplace equations of electro-magnetism [45]:…”
Section: Electrostatic Fringing-fields Forcementioning
confidence: 99%
“…The electrostatic field distribution as well as the electrostatic force acting on the movable electrode of Fig. 3, is solution of the following Laplace equation obtained from the MaxwelleLaplace equations of electro-magnetism [45]:…”
Section: Electrostatic Fringing-fields Forcementioning
confidence: 99%
“…Then these continuum models of fractal electrodynamics have been applied and developed in two directions: (a) fractional integral models by Baskin and Iomin [6,7], by Ostoja-Starzewski [8] to describe anisotropic fractal cases; (b) fractional (non-integer) dimensional models by Muslih, Baleanu and coauthors [9][10][11], by Zubair, Mughal, Naqvi [12][13][14][15][16], by Balankin with coauthors [17], to describe an anisotropic case, multipoles, and electromagnetic waves in fractional space. Effective continuum models of fractal electrodynamics, which is considered in papers [9][10][11][12][13][14][15][16][17], are based on Stillinger and Palmer-Stavrinou generalizations of the scalar Laplacian that are suggested in [18] and [19], respectively. In these papers [18,19], the authors have proposed only the second order differential operators for scalar fields in the form of the scalar Laplacian in the non-integer dimensional space.…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, solutions of Poisson's and Laplace equation for fractional space are presented in [11,12]. Solution of electromagnetic wave propagation in fractional space was presented by Zubair et al and has given solutions for plane waves in D-dimensional fractional space [13][14][15][16][17][18]. The antenna radiation in fractional space is also investigated and presented by Mughal et al [19].…”
Section: Introductionmentioning
confidence: 99%