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Analytical approximate solution for nonlinear space-time fractional Klein–Gordon equation |
| Khaled A. Gepreela b, Mohamed S. Mohamedb c |
a Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt;
b Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia;
c Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt |
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Abstract The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Klein-Gordon equation. The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives Klein-Gordon equation. This method introduces a promising tool for solving many space-time fractional partial differential equations. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.
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Received: 29 May 2012
Revised: 26 June 2012
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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Corresponding Authors:
Khaled A. Gepreel
E-mail: kagepreel@yahoo.com
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Cite this article:
Khaled A. Gepreel, Mohamed S. Mohamed Analytical approximate solution for nonlinear space-time fractional Klein–Gordon equation 2013 Chin. Phys. B 22 010201
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