Fractional Complex Transform Method for Wave Equations on Cantor Sets Within Local Fractional Differential Operator
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
This paper points out the fractional complex transform method for wave equations on Cantor sets within the local differential fractional operators. The proposed method is efficient to handle differential equations on Cantor sets.
Description
Yang, Xiao-Jun/0000-0003-0009-4599; Jafari, Hossein/0000-0001-6807-6675
Keywords
Fractional Complex Transform Method, Wave Equations, Local Fractional Differential Operators, Cantor Sets, Cantor set, Mathematical analysis, Orthogonal Polynomials, Differential equation, Method of characteristics, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Hypoelliptic operator, Algebra and Number Theory, Time-Fractional Diffusion Equation, Applied Mathematics, Fractional Fourier Transform Analysis, Fractional calculus, Pure mathematics, Partial differential equation, Pseudo-differential operator, Fractional Derivatives, Quadrature Methods, Modeling and Simulation, Physical Sciences, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, local fractional differential operators, Transform methods (e.g., integral transforms) applied to PDEs, fractional complex transform method, wave equations, Cantor sets, Fractional partial differential equations, Wave equation
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
38
Source
Advances in Difference Equations
Volume
2013
Issue
Start Page
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Citations
CrossRef : 38
Scopus : 60
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Mendeley Readers : 12
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