Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order
We use the homotopy perturbation method for solving the fractional nonlinear two-point boundary value problem. The obtained results by the homotopy perturbation method are then compared with the Adomian decomposition method. We solve the fractional Bratu-type problem as an illustrative example.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/919052 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560310357065728 |
|---|---|
| author | Hossein Jafari Khadijeh Bagherian Seithuti P. Moshokoa |
| author_facet | Hossein Jafari Khadijeh Bagherian Seithuti P. Moshokoa |
| author_sort | Hossein Jafari |
| collection | DOAJ |
| description | We use the homotopy perturbation method for solving the fractional nonlinear two-point boundary value problem. The obtained results by the homotopy perturbation method are then compared with the Adomian decomposition method. We solve the fractional Bratu-type problem as an illustrative example. |
| format | Article |
| id | doaj-art-50bfdfd95bda4e968129047219f006aa |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-50bfdfd95bda4e968129047219f006aa2025-02-03T01:27:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/919052919052Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional OrderHossein Jafari0Khadijeh Bagherian1Seithuti P. Moshokoa2Department of Mathematical Sciences, University of South Africa, Pretoria 0003, South AfricaDepartment of Mathematics, University of Mazandaran, Babolsar 47416-95447, IranDepartment of Mathematical Sciences, University of South Africa, Pretoria 0003, South AfricaWe use the homotopy perturbation method for solving the fractional nonlinear two-point boundary value problem. The obtained results by the homotopy perturbation method are then compared with the Adomian decomposition method. We solve the fractional Bratu-type problem as an illustrative example.http://dx.doi.org/10.1155/2014/919052 |
| spellingShingle | Hossein Jafari Khadijeh Bagherian Seithuti P. Moshokoa Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order Abstract and Applied Analysis |
| title | Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order |
| title_full | Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order |
| title_fullStr | Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order |
| title_full_unstemmed | Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order |
| title_short | Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order |
| title_sort | homotopy perturbation method to obtain positive solutions of nonlinear boundary value problems of fractional order |
| url | http://dx.doi.org/10.1155/2014/919052 |
| work_keys_str_mv | AT hosseinjafari homotopyperturbationmethodtoobtainpositivesolutionsofnonlinearboundaryvalueproblemsoffractionalorder AT khadijehbagherian homotopyperturbationmethodtoobtainpositivesolutionsofnonlinearboundaryvalueproblemsoffractionalorder AT seithutipmoshokoa homotopyperturbationmethodtoobtainpositivesolutionsofnonlinearboundaryvalueproblemsoffractionalorder |