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.
引用
收藏
页数：25
相关论文
共 50 条
  • [31] A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
    Prakash, Amit
    Prakasha, Doddabhadrappla Gowda
    Veeresha, Pundikala
    NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2019, 8 (01): : 695 - 701
  • [32] ANALYTICAL STUDY OF THE TWO-DIMENSIONAL TIME-FRACTIONAL NAVIER-STOKES EQUATIONS
    Shao, Jing
    Guo, Boling
    Duan, Lingling
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (05): : 1999 - 2022
  • [33] Navier-Stokes Equation and its Fractional Approximations
    Dlotko, Tomasz
    APPLIED MATHEMATICS AND OPTIMIZATION, 2018, 77 (01): : 99 - 128
  • [34] MODIFICATION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR MULTI-DIMENSIONAL TIME-FRACTIONAL MODEL OF NAVIER-STOKES EQUATION
    Jan, Himayat Ullah
    Ullah, Hakeem
    Fiza, Mehreen
    Khan, Ilyas
    Mohamed, Abdullah
    Mousa, Abd Allah A.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (02)
  • [35] A Note on the Time-Fractional Navier-Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method
    Eltayeb, Hassan
    Bachar, Imed
    Mesloub, Said
    AXIOMS, 2024, 13 (01)
  • [36] Classical and non-classical symmetries of time-fractional Navier–Stokes equation
    S. Gimnitz Simon
    B. Bira
    Indian Journal of Physics, 2024, 98 : 2475 - 2483
  • [37] The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation
    Shah, Nehad Ali
    Areshi, Mounirah
    Chung, Jae Dong
    Nonlaopon, Kamsing
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [38] Solving time-fractional Navier-Stokes equations using homotopy perturbation Elzaki transform
    Jena, Rajarama Mohan
    Chakraverty, S.
    SN APPLIED SCIENCES, 2019, 1 (01):
  • [39] No Existence and Smoothness of Solution of the Navier-Stokes Equation
    Dou, Hua-Shu
    ENTROPY, 2022, 24 (03)
  • [40] SOLUTION OF THE NAVIER-STOKES EQUATION - I.
    Adomian, G.
    Computers & mathematics with applications, 1986, 12 A (11): : 1119 - 1124
12345