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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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 4; no. 2; pp. 174 - 185
Main Authors HUSSIN, Che Haziqah Che, KILIÇMAN, Adem
Format Journal Article
LanguageEnglish
Published xxx 2011
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ISSN1307-5543
1307-5543

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Summary: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. 2000 Mathematics Subject Classifications: 35C10,74S30, 65L10, 34B05, 34B15
Bibliography:TMUH
ISSN:1307-5543
1307-5543