How can i check my booking without confirmation number?
You'd have to call the airline. Looking up your reservation online requires that you have your confirmation number.
Do you remember your NAME? Do you remember the Airline? Use your phone and call a human at the Airline reservations .
SSP Bowl Dude
CALL them and ask
Besides calling the airline, look on their website. Some airlines have alternate ways of looking up reservations. If you have a frequent flyer account with them and the flight is linked to your account, it should show up when you log in.