Sanya33, you may see the thing in the following way if the fighter belong the same nationality of the Aircraft Carrier.
At the start of that nation turn fighters from carrier are launched and start their “fly operations”. They are in the air upon the same sea zone in wich the carrier is. From that moment they can go in combat, the same in wich you, in case, send the AC or in another, on sea or on land. They can also stay in air in the sea zone until the end of non combat move.
At the very end of non combat move you must land your fighter somewhere. So they must reach a territory or a sea zone in wich they can legally land: a territory you own from the start of the turn or the same carrier from wich they start, or another carrier, even one of an allied nation.
Or, if they moved to fight a battle in a sea zone, without the carrier, the AC can move and they perform a “rendez vous” to land.
Summarizing the fighters and the AC act independently for all the turn and are not bound in doing the same movement.