On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
In this research, we study about fractional order for nonlinear of fifth-order boundary value problems and produce a theorem for higher order of fractional of nth-order boundary value problems. The aim of this study was to evaluate and validate the theorem and provide several numerical examples to t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24862/ http://psasir.upm.edu.my/id/eprint/24862/1/On%20the%20solution%20of%20fractional%20order%20nonlinear%20boundary%20value%20problems%20by%20using%20differential%20transformation%20method.pdf |
| _version_ | 1848845151921766400 |
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| author | Kilicman, Adem Che Hussin, Che Haziqah |
| author_facet | Kilicman, Adem Che Hussin, Che Haziqah |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this research, we study about fractional order for nonlinear of fifth-order boundary value problems and produce a theorem for higher order of fractional of nth-order boundary value problems. The aim of this study was to evaluate and validate the theorem and provide several numerical examples to test the performance of our theorem. We also make comparison between exact solutions and differential transformation method(DTM) by calculating the error between them. It is shown that DTM has very small error and suitable in several numerical solutions since it is effective and provide high accuracy. |
| first_indexed | 2025-11-15T08:42:16Z |
| format | Article |
| id | upm-24862 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:16Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248622015-09-22T02:34:15Z http://psasir.upm.edu.my/id/eprint/24862/ On the solution of fractional order nonlinear boundary value problems by using differential transformation method. Kilicman, Adem Che Hussin, Che Haziqah In this research, we study about fractional order for nonlinear of fifth-order boundary value problems and produce a theorem for higher order of fractional of nth-order boundary value problems. The aim of this study was to evaluate and validate the theorem and provide several numerical examples to test the performance of our theorem. We also make comparison between exact solutions and differential transformation method(DTM) by calculating the error between them. It is shown that DTM has very small error and suitable in several numerical solutions since it is effective and provide high accuracy. 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24862/1/On%20the%20solution%20of%20fractional%20order%20nonlinear%20boundary%20value%20problems%20by%20using%20differential%20transformation%20method.pdf Kilicman, Adem and Che Hussin, Che Haziqah (2011) On the solution of fractional order nonlinear boundary value problems by using differential transformation method. European Journal of Pure and Applied Mathematics, 4 (2). pp. 174-185. ISSN 1307-5543 English |
| spellingShingle | Kilicman, Adem Che Hussin, Che Haziqah On the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| title | On the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| title_full | On the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| title_fullStr | On the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| title_full_unstemmed | On the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| title_short | On the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| title_sort | on the solution of fractional order nonlinear boundary value problems by using differential transformation method. |
| url | http://psasir.upm.edu.my/id/eprint/24862/ http://psasir.upm.edu.my/id/eprint/24862/1/On%20the%20solution%20of%20fractional%20order%20nonlinear%20boundary%20value%20problems%20by%20using%20differential%20transformation%20method.pdf |