  We intent to use stellar models with and without alpha-enhancement, as well
as asteroseismic analysis, to study two alpha-enhanced stars, KIC 7976303 and
KIC 8694723. For the alpha-enhanced models, we adopt [alpha/Fe] = 0.2, and 0.4.
For the evolved sub-giant KIC 7976303 with mixed-modes, alpha-enhanced models
fit the observations better than the models without alpha-enhancement, and
point to a star with M = 1.20 $\pm$ 0.02 M_odot, t = 4.88 $\pm$ 0.08 Gyr, R =
2.04 $\pm$ 0.01 R_odot, and L = 5.07 $\pm$ 0.05 L_odot. For the post turnoff
star KIC 8694723, we find that the models fit the observations well in all
three cases ([alpha/Fe] = 0.0, 0.2, 0.4). According to the observed metal
abundances, only alpha- enhanced models are used to estimate the stellar
parameters, which are M = 1.13 $\pm$ 0.06 M_odot, t = 5.47 $\pm$ 0.43 Gyr, R =
1.55 $\pm$ 0.13 R_odot, and L = 3.18 $\pm$ 0.26 L_odot. Our alpha-enhanced
models indicate KIC 7976303 has a larger mass and younger age than in previous
works based on standard models. Furthermore, the differences of estimated mass
and age between the three cases are $\sim$ 0.1 M_odot and $\sim$ 0.5 - 1.3 Gyr.
These results suggest that we include alpha-enhancement in the modeling of
alpha-enhanced stars, such as members of GCs (Globular Clusters), metal-poor
stars in the disc and in the halo.
