A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator
The fractional Casson uid model has been considered in this paper in the context of the Goodman boundary conditions. A new approach for getting the solutions of the Casson uid models have been proposed. There is the Double integral method and the Heat balance integral method. These two methods con...
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| Format: | Article |
| Language: | English |
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ATNAA
2020-11-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1149324 |
| _version_ | 1797914046337384448 |
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| author | Ndolane Sene |
| author_facet | Ndolane Sene |
| author_sort | Ndolane Sene |
| collection | DOAJ |
| description | The fractional Casson uid model has been considered in this paper in the context of the Goodman boundary
conditions. A new approach for getting the solutions of the Casson uid models have been proposed. There is
the Double integral method and the Heat balance integral method. These two methods constitute the integral
balance method. In these methods, the exponent of the approximate solutions is an open main problem,
but this issue is intuitively solved by using the so-called matching method. The graphical representations of
the solutions of the fractional Casson fluid model support the main results that have been presented. In our
investigations, the Caputo derivative has been used. |
| first_indexed | 2024-04-10T12:20:44Z |
| format | Article |
| id | doaj.art-0699d82200e041658518df19c8141f4c |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T12:20:44Z |
| publishDate | 2020-11-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-0699d82200e041658518df19c8141f4c2023-02-15T16:15:27ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482020-11-014437338410.31197/atnaa.752330A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operatorNdolane SeneThe fractional Casson uid model has been considered in this paper in the context of the Goodman boundary conditions. A new approach for getting the solutions of the Casson uid models have been proposed. There is the Double integral method and the Heat balance integral method. These two methods constitute the integral balance method. In these methods, the exponent of the approximate solutions is an open main problem, but this issue is intuitively solved by using the so-called matching method. The graphical representations of the solutions of the fractional Casson fluid model support the main results that have been presented. In our investigations, the Caputo derivative has been used.https://dergipark.org.tr/tr/download/article-file/1149324fractional casson fluid modelsfractional heat equationintegral balance methods |
| spellingShingle | Ndolane Sene A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator Advances in the Theory of Nonlinear Analysis and its Applications fractional casson fluid models fractional heat equation integral balance methods |
| title | A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator |
| title_full | A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator |
| title_fullStr | A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator |
| title_full_unstemmed | A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator |
| title_short | A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator |
| title_sort | new approach for the solutions of the fractional generalized casson fluid model described by caputo fractional operator |
| topic | fractional casson fluid models fractional heat equation integral balance methods |
| url | https://dergipark.org.tr/tr/download/article-file/1149324 |
| work_keys_str_mv | AT ndolanesene anewapproachforthesolutionsofthefractionalgeneralizedcassonfluidmodeldescribedbycaputofractionaloperator AT ndolanesene newapproachforthesolutionsofthefractionalgeneralizedcassonfluidmodeldescribedbycaputofractionaloperator |