Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations
In this article, we present a method known as Natural decomposition transform method (NDTM). This method is the couple of Natural transform and Adomian decomposition method. By means of this new method, we successfully handle some coupled systems of nonlinear fractional order partial differential eq...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2020-03-01
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| Series: | Results in Nonlinear Analysis |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/1025640 |
| _version_ | 1797922064849436672 |
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| author | Ibrar Ul Haq, Zakir Ullah |
| author_facet | Ibrar Ul Haq, Zakir Ullah |
| author_sort | Ibrar Ul Haq, Zakir Ullah |
| collection | DOAJ |
| description | In this article, we present a method known as Natural decomposition transform method (NDTM). This method is the couple of Natural transform and Adomian decomposition method. By means of this new method, we successfully handle some coupled systems of nonlinear fractional order partial differential equations (NFPDEs). We obtain the solutions in the form of series which is rapidly converges to the exact solution. Two test examples are provided for the illustration of our method. |
| first_indexed | 2024-04-10T14:25:22Z |
| format | Article |
| id | doaj.art-accc65ba89044f2d889bb5a03565ac87 |
| institution | Directory Open Access Journal |
| issn | 2636-7556 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T14:25:22Z |
| publishDate | 2020-03-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-accc65ba89044f2d889bb5a03565ac872023-02-15T16:09:08ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562020-03-01313544Natural decomposition method and coupled systems of nonlinear fractional order partial differential equationsIbrar Ul Haq, Zakir UllahIn this article, we present a method known as Natural decomposition transform method (NDTM). This method is the couple of Natural transform and Adomian decomposition method. By means of this new method, we successfully handle some coupled systems of nonlinear fractional order partial differential equations (NFPDEs). We obtain the solutions in the form of series which is rapidly converges to the exact solution. Two test examples are provided for the illustration of our method.https://dergipark.org.tr/en/download/article-file/1025640natural transformadomian polynomialscoupled systemfractional order partial differential equations |
| spellingShingle | Ibrar Ul Haq, Zakir Ullah Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations Results in Nonlinear Analysis natural transform adomian polynomials coupled system fractional order partial differential equations |
| title | Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations |
| title_full | Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations |
| title_fullStr | Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations |
| title_full_unstemmed | Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations |
| title_short | Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations |
| title_sort | natural decomposition method and coupled systems of nonlinear fractional order partial differential equations |
| topic | natural transform adomian polynomials coupled system fractional order partial differential equations |
| url | https://dergipark.org.tr/en/download/article-file/1025640 |
| work_keys_str_mv | AT ibrarulhaqzakirullah naturaldecompositionmethodandcoupledsystemsofnonlinearfractionalorderpartialdifferentialequations |