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Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects

Published: 10 October 2022
 by  MDPI

Abstract: 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.
Keywords: Navier–Stokes equations / mild solution / existence and uniqueness / Caputo fractional derivative / Mittag–Leffler functions / regularity

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