Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets Within Local Fractional Operators
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
8
OpenAIRE Views
5
Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.
Description
Yang, Xiao-Jun/0000-0003-0009-4599; Tenreiro Machado, J. A./0000-0003-4274-4879
Keywords
Thermoelastic Damping and Heat Conduction, Financial economics, Decomposition method (queueing theory), Economics, Cantor set, Set (abstract data type), Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Decomposition, Ecology, Time-Fractional Diffusion Equation, Fractional calculus, Pure mathematics, Discrete mathematics, Applied mathematics, Computer science, Fractional Order, Programming language, Fractional Derivatives, Mechanics of Materials, Modeling and Simulation, Derivative (finance), FOS: Biological sciences, Physical Sciences, Fractional Calculus, Iterative Methods, Mathematics, PDEs on graphs and networks (ramified or polygonal spaces), Fractional partial differential equations, Fractals
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
Baleanu, Dumitru...et al. (2014). "Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators", Abstract and Applied Analysis.
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
45
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
6
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CrossRef : 23
Scopus : 73
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Mendeley Readers : 14
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79
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11
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3
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