We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Mild Solutions for the Time-Fractional Navier-Stokes Equations with MHD Effects.
- Authors
Abuasbeh, Kinda; Shafqat, Ramsha; Niazi, Azmat Ullah Khan; Awadalla, Muath
- Abstract
Recently, various techniques and methods have been employed by mathematicians to solve specific types of fractional differential equations (FDEs) with symmetric properties. The study focuses on Navier-Stokes equations (NSEs) that involve MHD effects with time-fractional derivatives (FDs). The (NSEs) with time-FDs of order β ∈ (0 , 1) are investigated. To facilitate anomalous diffusion in fractal media, mild solutions and Mittag-Leffler functions are used. In H δ , r , the existence, and uniqueness of local and global mild solutions are proved, as well as the symmetric structure created. Moderate local solutions are provided in J r . Moreover, the regularity and existence of classical solutions to the equations in J r . are established and presented.
- Subjects
NAVIER-Stokes equations; FRACTIONAL differential equations; FREE convection; CAPUTO fractional derivatives; MATHEMATICIANS
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 2, p280
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15020280