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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...

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Main Authors: Kilicman, Adem, Che Hussin, Che Haziqah
Format: Article
Language:English
English
Published: 2011
Online Access: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
http://psasir.upm.edu.my/id/eprint/24862/
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
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.
format Article
author Kilicman, Adem
Che Hussin, Che Haziqah
spellingShingle Kilicman, Adem
Che Hussin, Che Haziqah
On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
author_facet Kilicman, Adem
Che Hussin, Che Haziqah
author_sort Kilicman, Adem
title 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_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_sort on the solution of fractional order nonlinear boundary value problems by using differential transformation method.
publishDate 2011
url 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
http://psasir.upm.edu.my/id/eprint/24862/
_version_ 1643828487440564224
score 13.18916

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