Shafqat, RamshaNiazi, Azmat Ullah KhanYavuz, MehmetJeelani, Mdi BegumSaleem, Kiran2024-02-232024-02-2320222504-3110https://doi.org/10.3390/fractalfract6100580https://hdl.handle.net/20.500.12452/15901The 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.eninfo:eu-repo/semantics/openAccessNavier-Stokes EquationsMild SolutionExistence And UniquenessCaputo Fractional DerivativeMittag-Leffler FunctionsRegularityArticle6102-s2.0-85140609169WOS:000875225700001Q110.3390/fractalfract6100580