Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method
In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in this study is a combination of Shehu transfor...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5528928 |
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| author | Suleyman Cetinkaya Ali Demir Hulya Kodal Sevindir |
| author_facet | Suleyman Cetinkaya Ali Demir Hulya Kodal Sevindir |
| author_sort | Suleyman Cetinkaya |
| collection | DOAJ |
| description | In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in this study is a combination of Shehu transform (ST) and variational iteration method (VIM). First, ST is utilized to reduce the time-fractional differential equation with fractional derivative in Liouville-Caputo sense into an integer-order differential equation. Later, VIM is implemented to construct the solution of reduced differential equation. The convergence analysis of this method and illustrated examples confirm that the proposed method is one of best procedures to tackle space-time-fractional differential equations. |
| format | Article |
| id | doaj-art-8e56b585e5d34f32916256a972e4e43a |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8e56b585e5d34f32916256a972e4e43a2025-08-20T02:09:22ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55289285528928Solution of Space-Time-Fractional Problem by Shehu Variational Iteration MethodSuleyman Cetinkaya0Ali Demir1Hulya Kodal Sevindir2Department of Mathematics, Kocaeli University, Kocaeli 41380, TurkeyDepartment of Mathematics, Kocaeli University, Kocaeli 41380, TurkeyDepartment of Mathematics, Kocaeli University, Kocaeli 41380, TurkeyIn this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in this study is a combination of Shehu transform (ST) and variational iteration method (VIM). First, ST is utilized to reduce the time-fractional differential equation with fractional derivative in Liouville-Caputo sense into an integer-order differential equation. Later, VIM is implemented to construct the solution of reduced differential equation. The convergence analysis of this method and illustrated examples confirm that the proposed method is one of best procedures to tackle space-time-fractional differential equations.http://dx.doi.org/10.1155/2021/5528928 |
| spellingShingle | Suleyman Cetinkaya Ali Demir Hulya Kodal Sevindir Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method Advances in Mathematical Physics |
| title | Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method |
| title_full | Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method |
| title_fullStr | Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method |
| title_full_unstemmed | Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method |
| title_short | Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method |
| title_sort | solution of space time fractional problem by shehu variational iteration method |
| url | http://dx.doi.org/10.1155/2021/5528928 |
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