ELECTROMAGNETIC FIELDS ON FRACTALS
- 28 June 2006
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 21 (20) , 1587-1600
Abstract
Fractals are measurable metric sets with non-integer Hausdorff dimensions. If electric and magnetic fields are defined on fractal and do not exist outside of fractal in Euclidean space, then we can use the fractional generalization of the integral Maxwell equations. The fractional integrals are considered as approximations of integrals on fractals. We prove that fractal can be described as a specific medium.Keywords
All Related Versions
This publication has 18 references indexed in Scilit:
- Nonlinear fractional dynamics on a lattice with long range interactionsPhysica A: Statistical Mechanics and its Applications, 2006
- Dynamics with low-level fractionalityPhysica A: Statistical Mechanics and its Applications, 2006
- Fractional Ginzburg–Landau equation for fractal mediaPhysica A: Statistical Mechanics and its Applications, 2005
- Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamicsPhysics-Uspekhi, 2004
- Fractional kinetics: from pseudochaotic dynamics to Maxwell’s DemonPhysica D: Nonlinear Phenomena, 2004
- Chaos, fractional kinetics, and anomalous transportPhysics Reports, 2002
- On Mittag-Leffler-type functions in fractional evolution processesJournal of Computational and Applied Mathematics, 2000
- FRACTIONAL TIME EVOLUTION2000
- Fractional kinetic equations: solutions and applicationsChaos: An Interdisciplinary Journal of Nonlinear Science, 1997
- Fractional kinetic equation for Hamiltonian chaosPhysica D: Nonlinear Phenomena, 1994