I think if you google "opener for roll up garage door" you'll find what you need. Here is one I found, although I have never installed one it looks pretty straight forward.
Discover VEVOR Garage Roller Door Opener, 800 N Lift Force 164 ft Remote Control, 110V Electric Roller Gate Opener, Auto Garage Roller Gate Opener Kit with 2 Remote, Apply for Garage Store, Durable Material & Motor and 164 ft Remote Control at lowest price, 2days delivery, 30days returns.
Damned near any motor of sufficient HP will work. I think the deciding factor on what you buy depends on how much you wanna customize the interface between motor and door.
I know someone that works for a commercial door company that makes doors similar to these and can get you some suggestions and/or ideas. What are the door opening sizes?
You know I saw a newer style washing machine at the JY recently.. I made a mental note because the motor was unlike anything I've seen on an appliance. It was like a really beefer ceiling fan motor style/setup. Makes me wonder how well something in that style would work. It'd be space-saving that's for sure.