A study of the time fractional Navier-Stokes equations for vertical flow-Reference-Cited by-同舟云学术

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

Published:2023 Issue:4 Volume:8 Page:8702-8730
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Moumen Abdelkader¹,Shafqat Ramsha²,Niazi Azmat Ullah Khan²,Pakkaranang Nuttapol³,Jeelani Mdi Begum⁴,Saleem Kiran²

Affiliation:

1. Department of Mathematics, Faculty of Sciences, University of Hail, Hail 55425, Saudi Arabia

2. Department of Mathematics and Statistics, The University of Lahore, Sargodha 40100, Pakistan

3. Mathematics and Computing Science Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand

4. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 13314, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference23 articles.

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