Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform
A novel modification of the variational iteration method is proposed by means of Laplace transform and homotopy perturbation method. The fractional lagrange multiplier is accurately determined by the Laplace transform and the nonlinear one can be easily handled by the use of He’s polynomials. Sever...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/819268 |
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| _version_ | 1850171088215998464 |
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| author | Yanqin Liu Fengsheng Xu Xiuling Yin |
| author_facet | Yanqin Liu Fengsheng Xu Xiuling Yin |
| author_sort | Yanqin Liu |
| collection | DOAJ |
| description | A novel modification of the variational iteration method is proposed by means of Laplace transform and homotopy perturbation method. The fractional lagrange multiplier is accurately determined by the Laplace transform and the nonlinear one can be easily handled by the use of He’s polynomials. Several fractional nonlinear nonhomogeneous equations are analytically solved as examples and the methodology is demonstrated. |
| format | Article |
| id | doaj-art-a473ddc5f0a74815b772011a5c7ccb9e |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a473ddc5f0a74815b772011a5c7ccb9e2025-08-20T02:20:21ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/819268819268Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace TransformYanqin Liu0Fengsheng Xu1Xiuling Yin2School of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaSchool of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaSchool of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaA novel modification of the variational iteration method is proposed by means of Laplace transform and homotopy perturbation method. The fractional lagrange multiplier is accurately determined by the Laplace transform and the nonlinear one can be easily handled by the use of He’s polynomials. Several fractional nonlinear nonhomogeneous equations are analytically solved as examples and the methodology is demonstrated.http://dx.doi.org/10.1155/2013/819268 |
| spellingShingle | Yanqin Liu Fengsheng Xu Xiuling Yin Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform Abstract and Applied Analysis |
| title | Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform |
| title_full | Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform |
| title_fullStr | Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform |
| title_full_unstemmed | Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform |
| title_short | Variational Approximate Solutions of Fractional Nonlinear Nonhomogeneous Equations with Laplace Transform |
| title_sort | variational approximate solutions of fractional nonlinear nonhomogeneous equations with laplace transform |
| url | http://dx.doi.org/10.1155/2013/819268 |
| work_keys_str_mv | AT yanqinliu variationalapproximatesolutionsoffractionalnonlinearnonhomogeneousequationswithlaplacetransform AT fengshengxu variationalapproximatesolutionsoffractionalnonlinearnonhomogeneousequationswithlaplacetransform AT xiulingyin variationalapproximatesolutionsoffractionalnonlinearnonhomogeneousequationswithlaplacetransform |