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We continue our study of hydrodynamic models of self-organized evolution ofagents with singular interaction kernel $\phi(x) = |x|^{-(1+\alpha)}$.Following our works \cite{ST2017a,ST2017b} which focused on the range $1\leq\alpha <2$, and Do et. al. \cite{DKRT2017} which covered the range$0<\alpha<1$, in this paper we revisit the latter case and give a short(-er)proof of global in time existence of smooth solutions, together with a fulldescription of their long time dynamics. Specifically, we prove that startingfrom any initial condition in $(\rho_0,u_0) \in H^{2+\alpha}\times H^3$, thesolution approaches exponentially fast to a flocking state solution consistingof a wave $\bar{\rho}=\rho_\infty(x-t\bar{u}))$ traveling with a constantvelocity determined by the conserved average velocity $\bar{u}$. Theconvergence is accompanied by exponential decay of all higher order derivativesof $u$.

Eulerian dynamics with a commutator forcing III. Fractional diffusion of order $0<\alpha<1$