I've tried to install amd gpu drivers on elementary OS. After I've seen one similar problem in this forum, but with a Debian 9 user, I've tried a similar solution. I've tried a lot of modification about line 49 command of amd-gpu-pro-install scrip shell and it works.
You have to change on line 49 where there is wrote Ubuntu to elementary*
I' ve added two screenshots. One there is my Notebook configuration and other has the chaged that I did.