Just to clarify for others, Actix is a more general actor-based programming framework. Actix-web is a nice little web server framework built on top of that, which you could integrate with other Actix components.
From looking at the two, Actix is more minimalist with direct control, though it has some nice middleware built in. Rocket is a more Rails-like “everything works and is magic” approach. Both seem like they could be great but it depends on your use case.