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In this talk,we consider the fractional Navier-Stokes equations:{(6)tu△)βu+▽p=0 in Rn+1 ▽·u=0 in Rn+1 u|t=0=a(x)in Rn with β > 1/2.We establish the well-posedness of generalized Navier-Stokes equations with initial data in Besov type Morrey spaces and Triebel-Lizorkin Morrey spaces.