On nonlinear fractional Klein-Gordon equation
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Date
2011
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Elsevier Science Bv
Open Access Color
Green Open Access
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Abstract
Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy perturbation method has been successively applied for finding approximate analytical solutions of the fractional nonlinear Klein-Cordon equation can be used as numerical algorithm. The behavior of solutions and the effects of different values of fractional order a are shown graphically. Some examples are given to show ability of the method for solving the fractional nonlinear equation
Description
Keywords
Caputo Fractional Derivative, Fractional Klein Gordon, Homotopy Perturbation Method, Numerical Algorithm, Iteration Method, Signal theory (characterization, reconstruction, filtering, etc.), Caputo fractional derivative, fractional Klein Gordon, iteration method, Fractional ordinary differential equations, Numerical methods for ordinary differential equations, numerical algorithm, homotopy perturbation method
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Golmankhaneh, A.K., Golmankhaneh, Ali K., Baleanu, D. (2011). On nonlinear fractional Klein-Gordon equation. Signal Processing, 91(3), 446-451. http://dx.doi.org/10.1016/j.sigpro.2010.04.016
WoS Q
Q2
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OpenCitations Citation Count
110
Source
Signal Processing
Volume
91
Issue
3
Start Page
446
End Page
451
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CrossRef : 51
Scopus : 136
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