New Iterative Method: An Application for Solving Fractional Physical Differential Equations
The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or sma...
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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/10.1155/2013/617010 |
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| _version_ | 1832550245656952832 |
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| author | A. A. Hemeda |
| author_facet | A. A. Hemeda |
| author_sort | A. A. Hemeda |
| collection | DOAJ |
| description | The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which con
firm the power, accuracy, and simplicity of the given method compared with some of the other methods. |
| format | Article |
| id | doaj-art-de988caad7004103a47f719e50a81ac9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-de988caad7004103a47f719e50a81ac92025-02-03T06:07:21ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/617010617010New Iterative Method: An Application for Solving Fractional Physical Differential EquationsA. A. Hemeda0Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptThe new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which con
firm the power, accuracy, and simplicity of the given method compared with some of the other methods.http://dx.doi.org/10.1155/2013/617010 |
| spellingShingle | A. A. Hemeda New Iterative Method: An Application for Solving Fractional Physical Differential Equations Abstract and Applied Analysis |
| title | New Iterative Method: An Application for Solving Fractional Physical Differential Equations |
| title_full | New Iterative Method: An Application for Solving Fractional Physical Differential Equations |
| title_fullStr | New Iterative Method: An Application for Solving Fractional Physical Differential Equations |
| title_full_unstemmed | New Iterative Method: An Application for Solving Fractional Physical Differential Equations |
| title_short | New Iterative Method: An Application for Solving Fractional Physical Differential Equations |
| title_sort | new iterative method an application for solving fractional physical differential equations |
| url | http://dx.doi.org/10.1155/2013/617010 |
| work_keys_str_mv | AT aahemeda newiterativemethodanapplicationforsolvingfractionalphysicaldifferentialequations |