Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations

In this paper, we are concerned with the partial regularity of the suitable weak solutions to the fractional MHD equations in R-n for n = 2, 3. In comparison with the work of the 3D fractional Navier-Stokes equations obtained by Tang and Yu in [Partial regularity of suitable weak solutions to the fractional Navier-Stokes equations, Comm. Math. Phys. 334 (2015) 1455-1482], our results include their endpoint case alpha = 3/4 and the external force belongs to a more general parabolic Morrey space. Moreover, we prove some interior regularity criteria just via the scaled mixed norm of the velocity for the suitable weak solutions to the fractional MHD equations.