ephesus website lists bus transportation but I am unable to obtain schedule or fare information-arriving Monday March 21 at 9 am at izmir airport, Hitite Hotel in Selcuk offers pick up service for 50 euros one way, has any used bus service from airport to Selcuk?
There is a direct train, which I have not taken. See http://www.selcukephesus.com/trains.html and also http://www.seat61.com/Turkey2.htm#Izmir_Ephesus_Pamukkale.
Some of the airlines have their own free bus shuttles from Izmir Airport to Selcuk. When I went in 2011, Atlas Jet did this, and it worked really well. If you haven't booked your flight yet, it's worth checking.
I took the train back from Selcuk to Izmir airport (Andalou Jet, which we were using for our next segment, did not have a shuttle). It was extremely crowded and we had to stand the WHOLE way (90 minutes) - my mother was not pleased. But it was on time, and goes right to the airport.