An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations
In this paper, a new iterative method (NIM) is used to obtain the exact solutions of some nonlinear time-fractional partial differential equations. The fractional derivatives are described in the Caputo sense. The method provides a convergent series with easily computable components in comparison w...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2011-12-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14085 |
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doaj-e5d527eea7e74a0ba5e332b6b45f94be2020-11-24T21:53:59ZengVilnius University PressNonlinear Analysis1392-51132335-89632011-12-01164An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equationsHüseyin Koçak0Ahmet Yıldırım1University of Bath, UKEge University, Turkey; University of South Florida, USA In this paper, a new iterative method (NIM) is used to obtain the exact solutions of some nonlinear time-fractional partial differential equations. The fractional derivatives are described in the Caputo sense. The method provides a convergent series with easily computable components in comparison with other existing methods. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14085convergent seriesfractional calculusCaputo derivativeexact solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hüseyin Koçak Ahmet Yıldırım |
| spellingShingle |
Hüseyin Koçak Ahmet Yıldırım An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations Nonlinear Analysis convergent series fractional calculus Caputo derivative exact solution |
| author_facet |
Hüseyin Koçak Ahmet Yıldırım |
| author_sort |
Hüseyin Koçak |
| title |
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations |
| title_short |
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations |
| title_full |
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations |
| title_fullStr |
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations |
| title_full_unstemmed |
An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations |
| title_sort |
efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2011-12-01 |
| description |
In this paper, a new iterative method (NIM) is used to obtain the exact solutions of some nonlinear time-fractional partial differential equations. The fractional derivatives are described in the Caputo sense. The method provides a convergent series with easily computable components in comparison with other existing methods.
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| topic |
convergent series fractional calculus Caputo derivative exact solution |
| url |
http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14085 |
| work_keys_str_mv |
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