How to find the MLE of the mean of Gamma distribution

Question

If I parameterize Gamma distribution in the way as $\Gamma(\alpha,\frac{\mu}{\alpha})$, am I able to find the maximum likelihood estimator of $\mu$. Here, $\alpha$ is the shape parameter, $\frac{\mu}{\alpha}$ is the scale parameter, and $\mu$ is the mean of Gamma distribution.