Local Fractional Poisson and Laplace Equations With Applications To Electrostatics in Fractal Domain
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
From the local fractional calculus viewpoint, Poisson and Laplace equations were presented in this paper. Their applications to the electrostatics in fractal media are discussed and their local forms in the Cantor-type cylindrical coordinates are also obtained.
Description
Yang, Xiao-Jun/0000-0003-0009-4599
ORCID
Keywords
Laplace transform, QC1-999, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Electrostatics, Laplace's equation, FOS: Mathematics, Boundary value problem, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Domain (mathematical analysis), Time-Fractional Diffusion Equation, Physics, Statistics, Fractional calculus, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Fractional Derivatives, Poisson's equation, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Poisson distribution, Fractional Calculus, Fractal, Mathematics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Electro- and magnetostatics
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Li, Yang-Yang...et al.(2014). "Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain", Advances in Mathematical Physics, Vol. 2014.
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
10
Source
Advances in Mathematical Physics
Volume
2014
Issue
Start Page
1
End Page
5
PlumX Metrics
Citations
CrossRef : 4
Scopus : 18
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Mendeley Readers : 8
SCOPUS™ Citations
20
checked on Feb 25, 2026
Web of Science™ Citations
20
checked on Feb 25, 2026
Page Views
2
checked on Feb 25, 2026
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