The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform
This paper presents a new method that is constructed by combining the Shehu transform and the residual power series method. Precisely, we provide the application of the proposed technique to investigate fractional-order linear and nonlinear problems. Then, we implemented this new technique to obtain...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/1029196 |
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| _version_ | 1849306000836788224 |
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| author | Pongsakorn Sunthrayuth Rasool Shah A. M. Zidan Shahbaz Khan Jeevan Kafle |
| author_facet | Pongsakorn Sunthrayuth Rasool Shah A. M. Zidan Shahbaz Khan Jeevan Kafle |
| author_sort | Pongsakorn Sunthrayuth |
| collection | DOAJ |
| description | This paper presents a new method that is constructed by combining the Shehu transform and the residual power series method. Precisely, we provide the application of the proposed technique to investigate fractional-order linear and nonlinear problems. Then, we implemented this new technique to obtain the result of fractional-order Navier-Stokes equations. Finally, we provide three-dimensional figures to help the effect of fractional derivatives on the actions of the achieved profile results on the proposed models. |
| format | Article |
| id | doaj-art-30bfe79612df4dd4b114f7a80e268a94 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-30bfe79612df4dd4b114f7a80e268a942025-08-20T03:55:12ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/10291961029196The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu TransformPongsakorn Sunthrayuth0Rasool Shah1A. M. Zidan2Shahbaz Khan3Jeevan Kafle4Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani, ThailandDepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanDepartment of Mathematics, College of Science, King Khalid University, P.O. Box: 9004, Abha 61413, Saudi ArabiaDepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanCentral Department of Mathematics, Tribhuvan University, Kritipur, Kathmandu, NepalThis paper presents a new method that is constructed by combining the Shehu transform and the residual power series method. Precisely, we provide the application of the proposed technique to investigate fractional-order linear and nonlinear problems. Then, we implemented this new technique to obtain the result of fractional-order Navier-Stokes equations. Finally, we provide three-dimensional figures to help the effect of fractional derivatives on the actions of the achieved profile results on the proposed models.http://dx.doi.org/10.1155/2021/1029196 |
| spellingShingle | Pongsakorn Sunthrayuth Rasool Shah A. M. Zidan Shahbaz Khan Jeevan Kafle The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform Journal of Function Spaces |
| title | The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform |
| title_full | The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform |
| title_fullStr | The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform |
| title_full_unstemmed | The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform |
| title_short | The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform |
| title_sort | analysis of fractional order navier stokes model arising in the unsteady flow of a viscous fluid via shehu transform |
| url | http://dx.doi.org/10.1155/2021/1029196 |
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