Multipole Moments of Fractal Distribution of Charges
arXiv:physics/0606251 · doi:10.1142/S0217984905009122
Abstract
In this paper we consider the electric multipole moments of fractal distribution of charges. To describe fractal distribution, we use the fractional integrals. The fractional integrals are considered as approximations of integrals on fractals. In the paper we compute the electric multipole moments for homogeneous fractal distribution of charges.
LaTeX, 11 pages
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Cited by in corpus (15)
- Fractional Vector Calculus and Fractional Maxwell's Equations
- Review of Some Promising Fractional Physical Models
- Continuous Limit of Discrete Systems with Long-Range Interaction
- Vector Calculus in Non-Integer Dimensional Space and its Applications to Fractal Media
- Anisotropic Fractal Media by Vector Calculus in Non-Integer Dimensional Space
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Map of Discrete System into Continuous
- Fractional Derivative as Fractional Power of Derivative
- Fractional Statistical Mechanics
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- Magnetohydrodynamics of Fractal Media
- Universal Electromagnetic Waves in Dielectric
- Psi-Series Solution of Fractional Ginzburg-Landau Equation
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