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In this paper we study non-abelian gauge field inflation (gauge-flation)model in the context of intermediate and logamediate scenario. Importantparameters of this model are presented for these two cases. Numerical studyshows that the intermediate and logamediate gauge-flation are compatible withWMAP9 observational data. For intermediate inflation, where the cosmologicalscale factor expands as: $a(t)=a_0\exp(At^f)$ ($A>0, 0<f<1$), $N\geq 100$ caseslead to $0.02<r<0.11$ ($r$ is tensor-scalar ratio) and $N\simeq50 $ case leadsto $n_s\simeq 0.96$ ($n_s$ is spectral index). These constraints ofperturbation parameters are agree with Planck and WMAP9 data. For logamediatemodel, where the scale factor expands as: $a(t)=a_0 \exp(a[\ln t]^{\lambda})$($\lambda >1, A>0$), $N\geq 200$ and $\lambda=2$ cases lead to interestingagreement with observational data.

Some aspects of non-abelian gauge field inflation model