Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
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No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
The fractal wave equations with local fractional derivatives are investigated in this paper. The analytical solutions are obtained by using local fractional Fourier series method. The present method is very efficient and accurate to process a class of local fractional differential equations.
Description
Yang, Xiao-Jun/0000-0003-0009-4599
ORCID
Keywords
Artificial intelligence, Class (philosophy), QC1-999, Periodic Wave Solutions, Mathematical analysis, FOS: Mathematics, Series (stratigraphy), Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Time-Fractional Diffusion Equation, Physics, Fractional calculus, Paleontology, Statistical and Nonlinear Physics, Partial differential equation, Geology, FOS: Earth and related environmental sciences, Applied mathematics, Fourier series, Computer science, Fractional Derivatives, Fractals, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Dynamical Systems and Chaos Theory, Fourier transform, Fractional Calculus, Fractal, Mathematics, Rogue Waves in Nonlinear Systems, Fractional partial differential equations, Wave equation
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Yang, Yong-Ju; Baleanu, Dumitru; Yang, Xiao-Jun, "Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method",Advances In Mathematical Physics, (2013)
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
36
Source
Advances in Mathematical Physics
Volume
2013
Issue
Start Page
1
End Page
6
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Citations
CrossRef : 13
Scopus : 64
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Mendeley Readers : 6
SCOPUS™ Citations
67
checked on Feb 27, 2026
Web of Science™ Citations
42
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4
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