Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order
This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial-boundary conditions. The fractional derivatives are described in Caputo sense. Some illustrative examples are...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/763139 |
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| _version_ | 1832567401467609088 |
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| author | Asma Ali Elbeleze Adem Kiliçman Bachok M. Taib |
| author_facet | Asma Ali Elbeleze Adem Kiliçman Bachok M. Taib |
| author_sort | Asma Ali Elbeleze |
| collection | DOAJ |
| description | This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial-boundary conditions. The fractional derivatives are described in Caputo sense. Some illustrative examples are presented. |
| format | Article |
| id | doaj-art-bfb14a24ca3746459cc93338e1401894 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bfb14a24ca3746459cc93338e14018942025-02-03T01:01:44ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/763139763139Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional OrderAsma Ali Elbeleze0Adem Kiliçman1Bachok M. Taib2Faculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Nilai, MalaysiaDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFaculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Nilai, MalaysiaThis paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial-boundary conditions. The fractional derivatives are described in Caputo sense. Some illustrative examples are presented.http://dx.doi.org/10.1155/2012/763139 |
| spellingShingle | Asma Ali Elbeleze Adem Kiliçman Bachok M. Taib Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order Abstract and Applied Analysis |
| title | Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order |
| title_full | Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order |
| title_fullStr | Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order |
| title_full_unstemmed | Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order |
| title_short | Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order |
| title_sort | application of homotopy perturbation and variational iteration methods for fredholm integrodifferential equation of fractional order |
| url | http://dx.doi.org/10.1155/2012/763139 |
| work_keys_str_mv | AT asmaalielbeleze applicationofhomotopyperturbationandvariationaliterationmethodsforfredholmintegrodifferentialequationoffractionalorder AT ademkilicman applicationofhomotopyperturbationandvariationaliterationmethodsforfredholmintegrodifferentialequationoffractionalorder AT bachokmtaib applicationofhomotopyperturbationandvariationaliterationmethodsforfredholmintegrodifferentialequationoffractionalorder |