A study of the time fractional Navier-Stokes equations for vertical flow

被引：1
作者：
Moumen, Abdelkader [1 ]
Shafqat, Ramsha [2 ]
Niazi, Azmat Ullah Khan [2 ]
Pakkaranang, Nuttapol [3 ]
Jeelani, Mdi Begum [4 ]
Saleem, Kiran [2 ]
机构：
[1] Univ Hail, Fac Sci, Dept Math, Hail 55425, Saudi Arabia
[2] Univ Lahore, Dept Math & Stat, Sargodha 40100, Pakistan
[3] Phetchabun Rajabhat Univ, Fac Sci & Technol, Math & Comp Sci Program, Phetchabun 67000, Thailand
[4] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 13314, Saudi Arabia
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 04期
关键词：
Navier-Stokes equations; mild solution; existence and uniqueness; Caputo fractional derivative; Mittag-Leffler functions; regularity;
D O I：
10.3934/math.2023437
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Navier-Stokes (NS) equations dealing with gravitational force with time-fractional derivatives are discussed in this paper. These equations can be used to predict fluid velocity and pressure for a given geometry. This paper investigates the local and global existence and uniqueness of mild solutions to NS equations for the time fractional differential operator. We also work on the regularity effects of such types of equations were caused by orthogonal flow.
引用
收藏
页码：8702 / 8730
页数：29
相关论文
共 23 条
  • [1] Significance of Chemical Reaction and Lorentz Force on Third-Grade Fluid Flow and Heat Transfer with Darcy-Forchheimer Law over an Inclined Exponentially Stretching Sheet Embedded in a Porous Medium
    Abbas, Amir
    Shafqat, Ramsha
    Jeelani, Mdi Begum
    Alharthi, Nadiyah Hussain
    [J]. SYMMETRY-BASEL, 2022, 14 (04):
  • [2] Fractional Brownian Motion for a System of Fuzzy Fractional Stochastic Differential Equation
    Abuasbeh, Kinda
    Shafqat, Ramsha
    [J]. JOURNAL OF MATHEMATICS, 2022, 2022
  • [3] Oscillatory behavior of solution for fractional order fuzzy neutral predator-prey system
    Abuasbeh, Kinda
    Shafqat, Ramsha
    Niazi, Azmat Ullah Khan
    Awadalla, Muath
    [J]. AIMS MATHEMATICS, 2022, 7 (11): : 20383 - 20400
  • [4] Nonlocal fuzzy fractional stochastic evolution equations with fractional Brownian motion of order (1,2)
    Abuasbeh, Kinda
    Shafqat, Ramsha
    Niazi, Azmat Ullah Khan
    Awadalla, Muath
    [J]. AIMS MATHEMATICS, 2022, 7 (10): : 19344 - 19358
  • [5] Local and Global Existence and Uniqueness of Solution for Time-Fractional Fuzzy Navier-Stokes Equations
    Abuasbeh, Kinda
    Shafqat, Ramsha
    Niazi, Azmat Ullah Khan
    Awadalla, Muath
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (06)
  • [6] A Caputo fractional derivative of a function with respect to another function
    Almeida, Ricardo
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 44 : 460 - 481
  • [7] Pattern Formation Induced by Fuzzy Fractional-Order Model of COVID-19
    Alnahdi, Abeer S.
    Shafqat, Ramsha
    Niazi, Azmat Ullah Khan
    Jeelani, Mdi Begum
    [J]. AXIOMS, 2022, 11 (07)
  • [8] Carvalho-Neto P. M., 2013, FRACTIONAL DIFFERENT
  • [9] Mild solutions to the time fractional Navier-Stokes equations in RN
    de Carvalho-Neto, Paulo Mendes
    Planas, Gabriela
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (07) : 2948 - 2980
  • [10] Galdi GP, 2011, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-09620-9
123