Davey-Stewartson Equation with Fractional Coordinate Derivatives
We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/941645 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556993806598144 |
|---|---|
| author | H. Jafari K. Sayevand Yasir Khan M. Nazari |
| author_facet | H. Jafari K. Sayevand Yasir Khan M. Nazari |
| author_sort | H. Jafari |
| collection | DOAJ |
| description | We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations
of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have
been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of
fractional derivatives for the systems under consideration are discussed. Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy. |
| format | Article |
| id | doaj-art-f07aac426592440aba71ffdf37edd5a7 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f07aac426592440aba71ffdf37edd5a72025-02-03T05:43:57ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/941645941645Davey-Stewartson Equation with Fractional Coordinate DerivativesH. Jafari0K. Sayevand1Yasir Khan2M. Nazari3Department of Mathematics and Computer Science, University of Mazandaran, P.O. Box 47416-1467 , Babolsar, IranFaculty of Mathematical Sciences, Malayer University, P.O. Box 65719-95863, Malayer, IranDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics and Computer Science, University of Mazandaran, P.O. Box 47416-1467 , Babolsar, IranWe have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of fractional derivatives for the systems under consideration are discussed. Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy.http://dx.doi.org/10.1155/2013/941645 |
| spellingShingle | H. Jafari K. Sayevand Yasir Khan M. Nazari Davey-Stewartson Equation with Fractional Coordinate Derivatives The Scientific World Journal |
| title | Davey-Stewartson Equation with Fractional Coordinate Derivatives |
| title_full | Davey-Stewartson Equation with Fractional Coordinate Derivatives |
| title_fullStr | Davey-Stewartson Equation with Fractional Coordinate Derivatives |
| title_full_unstemmed | Davey-Stewartson Equation with Fractional Coordinate Derivatives |
| title_short | Davey-Stewartson Equation with Fractional Coordinate Derivatives |
| title_sort | davey stewartson equation with fractional coordinate derivatives |
| url | http://dx.doi.org/10.1155/2013/941645 |
| work_keys_str_mv | AT hjafari daveystewartsonequationwithfractionalcoordinatederivatives AT ksayevand daveystewartsonequationwithfractionalcoordinatederivatives AT yasirkhan daveystewartsonequationwithfractionalcoordinatederivatives AT mnazari daveystewartsonequationwithfractionalcoordinatederivatives |