MULTIPOLE MOMENTS OF FRACTAL DISTRIBUTION OF CHARGES

DOI10.1142/S0217984905009122zbMath1180.26006arXivphysics/0606251MaRDI QIDQ3638017

Vasily E. Tarasov

Publication date: 14 July 2009

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0606251

zbMATH Keywords

fractalsfractional integralsfractal dimensionsfractal distributionelectric multipole moments

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items

FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE, Anisotropic fractal media by vector calculus in non-integer dimensional space, Fractional electrostatic equations in fractal composite structures, Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation, Fractional statistical mechanics, Electromagnetic waves in non-integer dimensional spaces and fractals, Local fractional Poisson and Laplace equations with applications to electrostatics in fractal domain, Electromagnetic fields in fractal continua, Vector calculus in non-integer dimensional space and its applications to fractal media, REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS, Fractal electrodynamics via non-integer dimensional space approach

Cites Work

• Unnamed Item
• Integrals and derivatives on net fractals.
• Stationary solutions of Liouville equations for non-Hamiltonian systems
• Chaos, fractional kinetics, and anomalous transport
• Continuous medium model for fractal media
• Fractional hydrodynamic equations for fractal media
• On fractional calculus and fractional multipoles in electromagnetism
• Phase-space metric for non-Hamiltonian systems
• THERMODYNAMICS OF FEW-PARTICLE SYSTEMS
• Fractional generalization of gradient and Hamiltonian systems
• Fractional Fokker–Planck equation for fractal media
• CLASSICAL CANONICAL DISTRIBUTION FOR DISSIPATIVE SYSTEMS
• WAVE EQUATION FOR FRACTAL SOLID STRING