Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method
A combination of homotopy perturbation method and Sumudu transform is applied to find exact and approximate solution of space and time fractional nonlinear Schrödinger equation. The fractional derivatives are described in the Caputo sense. The solutions are given in the form of convergent series wit...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/863015 |
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| _version_ | 1832566910425759744 |
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| author | Sara H. M. Hamed Eltayeb A. Yousif Arbab I. Arbab |
| author_facet | Sara H. M. Hamed Eltayeb A. Yousif Arbab I. Arbab |
| author_sort | Sara H. M. Hamed |
| collection | DOAJ |
| description | A combination of homotopy perturbation method and Sumudu transform is applied to find exact and approximate solution of space and time fractional nonlinear Schrödinger equation. The fractional derivatives are described in the Caputo sense. The solutions are given in the form of convergent series with easily computable components. The results show that the method is effective and convenient for solving nonlinear differential equations of fractional order. |
| format | Article |
| id | doaj-art-9fa53f6e1f0a4c8f8ae5194b07359ddf |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9fa53f6e1f0a4c8f8ae5194b07359ddf2025-02-03T01:02:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/863015863015Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform MethodSara H. M. Hamed0Eltayeb A. Yousif1Arbab I. Arbab2Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Alneelain University, 11121 Khartoum, SudanDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Khartoum, 11111 Khartoum, SudanDepartment of Physics, Faculty of Science, University of Khartoum, 11111 Khartoum, SudanA combination of homotopy perturbation method and Sumudu transform is applied to find exact and approximate solution of space and time fractional nonlinear Schrödinger equation. The fractional derivatives are described in the Caputo sense. The solutions are given in the form of convergent series with easily computable components. The results show that the method is effective and convenient for solving nonlinear differential equations of fractional order.http://dx.doi.org/10.1155/2014/863015 |
| spellingShingle | Sara H. M. Hamed Eltayeb A. Yousif Arbab I. Arbab Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method Abstract and Applied Analysis |
| title | Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method |
| title_full | Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method |
| title_fullStr | Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method |
| title_full_unstemmed | Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method |
| title_short | Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method |
| title_sort | analytic and approximate solutions of the space time fractional schrodinger equations by homotopy perturbation sumudu transform method |
| url | http://dx.doi.org/10.1155/2014/863015 |
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