Analysis of the Multi-Dimensional Navier-Stokes Equation by Caputo Fractional Operator
被引:13
作者:
Albalawi, Kholoud Saad
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机构:
Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11566, Saudi ArabiaImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11566, Saudi Arabia
Albalawi, Kholoud Saad
[1
]
Mishra, Manvendra Narayan
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机构:
AMITY Univ Rajasthan, AMITY Sch Appl Sci, Dept Math, Jaipur 303002, IndiaImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11566, Saudi Arabia
Mishra, Manvendra Narayan
[2
]
Goswami, Pranay
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机构:
Dr R Ambedkar Univ Delhi, Sch Liberal Studies, Dept Math, Delhi 110006, IndiaImam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11566, Saudi Arabia
Goswami, Pranay
[3
]
机构:
[1] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 11566, Saudi Arabia
Navier-Stokes equation;
Caputo derivative;
existence and uniqueness;
Sumudu transform;
MODEL;
D O I:
10.3390/fractalfract6120743
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this article, we investigate the solution of the fractional multidimensional Navier-Stokes equation based on the Caputo fractional derivative operator. The behavior of the solution regarding the Navier-Stokes equation system using the Sumudu transform approach is discussed analytically and further discussed graphically.
机构:
Hungarian Acad Sci, KFKI Atom Energy Res Inst, Thermohydraul Dept, KFKI AEKI, H-1525 Budapest, HungaryHungarian Acad Sci, KFKI Atom Energy Res Inst, Thermohydraul Dept, KFKI AEKI, H-1525 Budapest, Hungary
机构:
KFKI Atomic Energy Research Institute of the Hungarian Academy of Sciences,Thermohydraulics Department,(KFKI-AEKI),H-1525 Budapest,P.O.Box 49,HungaryKFKI Atomic Energy Research Institute of the Hungarian Academy of Sciences,Thermohydraulics Department,(KFKI-AEKI),H-1525 Budapest,P.O.Box 49,Hungary
机构:
Linnaeus Univ, Math Inst, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo, SwedenLinnaeus Univ, Math Inst, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo, Sweden
Khrennikov, Andrei Yu.
Kochubei, Anatoly N.
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机构:
Natl Acad Sci Ukraine, Math Inst, Kiev, UkraineLinnaeus Univ, Math Inst, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo, Sweden
机构:
Hungarian Acad Sci, KFKI Atom Energy Res Inst, Thermohydraul Dept, KFKI AEKI, H-1525 Budapest, HungaryHungarian Acad Sci, KFKI Atom Energy Res Inst, Thermohydraul Dept, KFKI AEKI, H-1525 Budapest, Hungary
机构:
KFKI Atomic Energy Research Institute of the Hungarian Academy of Sciences,Thermohydraulics Department,(KFKI-AEKI),H-1525 Budapest,P.O.Box 49,HungaryKFKI Atomic Energy Research Institute of the Hungarian Academy of Sciences,Thermohydraulics Department,(KFKI-AEKI),H-1525 Budapest,P.O.Box 49,Hungary
机构:
Linnaeus Univ, Math Inst, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo, SwedenLinnaeus Univ, Math Inst, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo, Sweden
Khrennikov, Andrei Yu.
Kochubei, Anatoly N.
论文数: 0引用数: 0
h-index: 0
机构:
Natl Acad Sci Ukraine, Math Inst, Kiev, UkraineLinnaeus Univ, Math Inst, Int Ctr Math Modeling Phys & Cognit Sci, Vaxjo, Sweden