In this talk, we consider the long time behavior of solutions for 3D MHD equations with fractional Laplacian.  Firstly, in a periodic bounded domain, we prove the existence of global attractor. The analysis reveals a relation between the Laplacian exponent and the regularity of the spaces of velocity and magnetic.  Moreover,  in the whole space $/mathbb{R}^3$, we establish the  algebraic decay rate of  solutions and higher-order derivative of solutions  for 3D generalized MHD system provided that the parameter $/alpha</frac32$.

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