Mild Solutions for the Time-Fractional Navier-Stokes Equations with MHD Effects
Open Access
- 19 January 2023
- Vol. 15 (2), 280
- https://doi.org/10.3390/sym15020280
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 are investigated. To facilitate anomalous diffusion in fractal media, mild solutions and Mittag-Leffler functions are used. In , 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 . Moreover, the regularity and existence of classical solutions to the equations in . are established and presented.
Keywords
Funding Information
- Annual Funding track by the Deanship of Scientific Research
- Scientific Research, King Faisal University, Saudi Arabia (GRANT2328)
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