Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels
In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics. The new operators are referred as fractal-fractional differentia...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/7082262 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550493104111616 |
|---|---|
| author | Imran Siddique Ali Akgül Hafte Amsalu Kahsay Teklay Hailay Tsegay Kahsay Godifey Wubneh |
| author_facet | Imran Siddique Ali Akgül Hafte Amsalu Kahsay Teklay Hailay Tsegay Kahsay Godifey Wubneh |
| author_sort | Imran Siddique |
| collection | DOAJ |
| description | In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics. The new operators are referred as fractal-fractional differential operators. The governing equations for the problem are constructed with the fractal-fractional differential operators. We present the stability analysis and the error analysis. |
| format | Article |
| id | doaj-art-70ef8b5ac9b14adda9bea14f13a7c61e |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-70ef8b5ac9b14adda9bea14f13a7c61e2025-02-03T06:06:32ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/70822627082262Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different KernelsImran Siddique0Ali Akgül1Hafte Amsalu Kahsay2Teklay Hailay Tsegay3Kahsay Godifey Wubneh4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics. The new operators are referred as fractal-fractional differential operators. The governing equations for the problem are constructed with the fractal-fractional differential operators. We present the stability analysis and the error analysis.http://dx.doi.org/10.1155/2021/7082262 |
| spellingShingle | Imran Siddique Ali Akgül Hafte Amsalu Kahsay Teklay Hailay Tsegay Kahsay Godifey Wubneh Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels Journal of Function Spaces |
| title | Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels |
| title_full | Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels |
| title_fullStr | Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels |
| title_full_unstemmed | Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels |
| title_short | Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels |
| title_sort | applications of magnetohydrodynamic couple stress fluid flow between two parallel plates with three different kernels |
| url | http://dx.doi.org/10.1155/2021/7082262 |
| work_keys_str_mv | AT imransiddique applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT aliakgul applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT hafteamsalukahsay applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT teklayhailaytsegay applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT kahsaygodifeywubneh applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels |