Yes your laptop will be able to run it my laptop uses the a10-4600m and it runs it alright (not maxed).
Also a quick check on http://www.systemrequirementslab.com/
shows that your laptop should be sufficient to run Rust. You can also check here: http://www.game-debate.com/games/index.php?g_id=9210&game=Rust
Rust is generally not a very demanding gamee.
Hope this helps!!