| Analytical approximate solution for nonlinear space-time fractional Klein Gordon equation |
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| 引用本文： | Khaled A. Gepreel,Mohamed S. Mohameda. Analytical approximate solution for nonlinear space-time fractional Klein Gordon equation[J]. 中国物理 B, 2013, 22(1): 10201-010201. DOI: 10.1088/1674-1056/22/1/010201 |
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| 作者姓名： | Khaled A. Gepreel Mohamed S. Mohameda |
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| 作者单位： | Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt;Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabi;Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt |
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| 摘 要： | 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 KleinGordon 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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| 关 键 词： | homotopy analysis method nonlinear space–time fractional Klein–Gordon equation Caputo derivative |
| 收稿时间： | 2012-05-29 |
Analytical approximate solution for nonlinear space–time fractional Klein Gordon equation |
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| Khaled A. Gepreel,Mohamed S. Mohamed. Analytical approximate solution for nonlinear space–time fractional Klein Gordon equation[J]. Chinese Physics B, 2013, 22(1): 10201-010201. DOI: 10.1088/1674-1056/22/1/010201 |
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| Authors: | Khaled A. Gepreel Mohamed S. Mohamed |
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| Affiliation: | Khaled A. Gepreel a)b) and Mohamed S. Mohamed b)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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| Keywords: | homotopy analysis method nonlinear space-time fractional Klein-Gordon equation Caputo derivative |
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