Mild Solution for the Time-Fractional Navier-Stokes Equation Incorporating MHD Effects

被引：15
作者：
Shafqat, Ramsha [1 ]
Niazi, Azmat Ullah Khan [1 ]
Yavuz, Mehmet [2 ]
Jeelani, Mdi Begum [3 ]
Saleem, Kiran [1 ]
机构：
[1] Univ Lahore, Dept Math & Stat, Sargodha 40100, Pakistan
[2] Necmettin Erbakan Univ, Fac Sci, Dept Math & Comp Sci, TR-42090 Konya, Turkey
[3] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 13314, Saudi Arabia
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 10期
关键词：
Navier-Stokes equations; mild solution; existence and uniqueness; Caputo fractional derivative; Mittag-Leffler functions; regularity;
D O I：
10.3390/fractalfract6100580
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Navier-Stokes (NS) equations involving MHD effects with time-fractional derivatives are discussed in this paper. This paper investigates the local and global existence and uniqueness of the mild solution to the NS equations for the time fractional differential operator. In addition, we work on the regularity effects of such types of equations which are caused by MHD flow.
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页数：25
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