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About Maxwell's Equations On Fractal Subsets of R-3

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2013

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De Gruyter Poland SP Zoo

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Abstract

In this paper we have generalized -calculus for fractals embedding in a"e(3). -calculus is a fractional local derivative on fractals. It is an algorithm which may be used for computer programs and is more applicable than using measure theory. In this Calculus staircase functions for fractals has important role. -fractional differential form is introduced such that it can help us to derive the physical equation. Furthermore, using the -fractional differential form of Maxwell's equations on fractals has been suggested.

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Fractal Integral, Fractal Derivative, Fractal Differential Equations, Fractional Maxwell Equation

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Source

Central European Journal of Physics

Volume

11

Issue

6

Start Page

863

End Page

867