"fapstation" is a synonym for PC or Computer.
Your PC is the place where you fap most
frequently, so it is your fapstation.
The term was first used by the Youtube-Director
GuitarMasterX7, in a video where he showed all his equipment.
This is my room,
here you see my TV, and there is my fapstation.
I bought new fapstation, I needed a new
one for all the upcoming games this fall.