A Novel Method for Analytical Solutions of Fractional Partial Differential Equations
A new solution technique for analytical solutions of fractional partial differential equations (FPDEs) is presented. The solutions are expressed as a finite sum of a vector type functional. By employing MAPLE software, it is shown that the solutions might be extended to an arbitrary degree which mak...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/195708 |
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doaj-f4955a0177af409f87726fc9db228cac2020-11-25T00:55:26ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/195708195708A Novel Method for Analytical Solutions of Fractional Partial Differential EquationsMehmet Ali Akinlar0Muhammet Kurulay1Department of Mathematics, Bilecik Seyh Edebali University, 11210 Bilecik, TurkeyDepartment of Mathematics, Yildiz Technical University, 34220 Istanbul, TurkeyA new solution technique for analytical solutions of fractional partial differential equations (FPDEs) is presented. The solutions are expressed as a finite sum of a vector type functional. By employing MAPLE software, it is shown that the solutions might be extended to an arbitrary degree which makes the present method not only different from the others in the literature but also quite efficient. The method is applied to special Bagley-Torvik and Diethelm fractional differential equations as well as a more general fractional differential equation.http://dx.doi.org/10.1155/2013/195708 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mehmet Ali Akinlar Muhammet Kurulay |
| spellingShingle |
Mehmet Ali Akinlar Muhammet Kurulay A Novel Method for Analytical Solutions of Fractional Partial Differential Equations Mathematical Problems in Engineering |
| author_facet |
Mehmet Ali Akinlar Muhammet Kurulay |
| author_sort |
Mehmet Ali Akinlar |
| title |
A Novel Method for Analytical Solutions of Fractional Partial Differential Equations |
| title_short |
A Novel Method for Analytical Solutions of Fractional Partial Differential Equations |
| title_full |
A Novel Method for Analytical Solutions of Fractional Partial Differential Equations |
| title_fullStr |
A Novel Method for Analytical Solutions of Fractional Partial Differential Equations |
| title_full_unstemmed |
A Novel Method for Analytical Solutions of Fractional Partial Differential Equations |
| title_sort |
novel method for analytical solutions of fractional partial differential equations |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2013-01-01 |
| description |
A new solution technique for analytical solutions of fractional partial differential equations (FPDEs) is presented. The solutions are expressed as a finite sum of a vector type functional. By employing MAPLE software, it is shown that the solutions might be extended to an arbitrary degree which makes the present method not only different from the others in the literature but also quite efficient. The method is applied to special Bagley-Torvik and Diethelm fractional differential equations as well as a more general fractional differential equation. |
| url |
http://dx.doi.org/10.1155/2013/195708 |
| work_keys_str_mv |
AT mehmetaliakinlar anovelmethodforanalyticalsolutionsoffractionalpartialdifferentialequations AT muhammetkurulay anovelmethodforanalyticalsolutionsoffractionalpartialdifferentialequations AT mehmetaliakinlar novelmethodforanalyticalsolutionsoffractionalpartialdifferentialequations AT muhammetkurulay novelmethodforanalyticalsolutionsoffractionalpartialdifferentialequations |
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