Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects
Ramsha Shafqat, Azmat Ullah Khan Niazi, Mehmet Yavuz, Mdi Begum Jeelani, Kiran Saleem
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.
Topics & Concepts
MagnetohydrodynamicsUniquenessWork (physics)Operator (biology)Fractional calculusFlow (mathematics)MathematicsNavier–Stokes equationsMathematical analysisApplied mathematicsPhysicsMechanicsPlasmaCompressibilityGeometryThermodynamicsBiochemistryChemistryRepressorGeneQuantum mechanicsTranscription factorFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods