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...
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Hindawi Limited
2021
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oai:doaj.org-article:70ef8b5ac9b14adda9bea14f13a7c61e2021-11-08T02:37:08ZApplications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels2314-888810.1155/2021/7082262https://doaj.org/article/70ef8b5ac9b14adda9bea14f13a7c61e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7082262https://doaj.org/toc/2314-8888In 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.Imran SiddiqueAli AkgülHafte Amsalu KahsayTeklay Hailay TsegayKahsay Godifey WubnehHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021) |
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Mathematics QA1-939 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 |
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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 |
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 |
title |
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_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_sort |
applications of magnetohydrodynamic couple stress fluid flow between two parallel plates with three different kernels |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/70ef8b5ac9b14adda9bea14f13a7c61e |
work_keys_str_mv |
AT imransiddique applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT aliakgul applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT hafteamsalukahsay applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT teklayhailaytsegay applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels AT kahsaygodifeywubneh applicationsofmagnetohydrodynamiccouplestressfluidflowbetweentwoparallelplateswiththreedifferentkernels |
_version_ |
1718443010699558912 |