Damped Wave Equation and Dissipative Wave Equation in Fractal Strings Within the Local Fractional Variational Iteration Method
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
Abstract
In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local fractional variational iteration method is an efficient and simple tool for solving mathematical problems arising in fractal wave motions. MSC: 74H10, 35L05, 28A80.
Description
Jafari, Hossein/0000-0001-6807-6675; Yang, Xiao-Jun/0000-0003-0009-4599
Keywords
Local Fractional Variational Iteration Method, Damped Wave Equation, Dissipative Wave Equation, Local Fractional Operators, Fractal Strings, Dissipative system, Epistemology, Periodic Wave Solutions, Mathematical analysis, Quantum mechanics, Engineering, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Integrable Turbulence, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, FOS: Philosophy, ethics and religion, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Philosophy, Physics and Astronomy, Mechanics of Materials, Modeling and Simulation, Physical Sciences, Simple (philosophy), Wave equation, Fractional Calculus, Geometry and Topology, Fractal, Mathematics, Rogue Waves in Nonlinear Systems, local fractional variational iteration method, damped wave equation, dissipative wave equation, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics, fractal strings, Fractals, local fractional operators
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Su, Wei-Hua...et al. (2013). "Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method", Fixed Point Theory and Applications.
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
33
Source
Fixed Point Theory and Applications
Volume
2013
Issue
Start Page
1
End Page
11
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CrossRef : 25
Scopus : 55
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57
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Web of Science™ Citations
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1
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