Sooner or later those fighters are going to run out of supplies. I don't think you can "resupply" them if they do. I think they are destroyed if they run out of supplies. I've been considering a special type of satellite to support fighters "in the field" like that. It would be bigger than any other satellite, maybe as large as 200kt, but it would have a requirement to be 50 percent or more fighter bays like a carrier. Drop one of these near a warp point with some fighters and you've got a defense system as powerful as ships (can move and attack) but it costs zero maintenance!
The best of both worlds. You could drop some conventional satellites nearby to support them and/or protect the carrier sat, though.