Fethiye is on Turkish time, UTC+3, like the rest of the country. What changes from city to city is the daylight.
Turkey keeps one time zone across roughly 1,600 km, so the clock in Fethiye matches Istanbul exactly while the sun rises at a different moment. The figures above are calculated for Fethiye's own coordinates and update as the date changes.
Fethiye is on the Turquoise Coast in the south-west, with a large natural harbour and Lycian rock tombs cut into the cliff directly above the town. It is the main base for the western Mediterranean coast.
Ölüdeniz, just south, is the lagoon that appears on most Turkish tourism posters, and the ridge above it is one of the better-known paragliding launches in the world.
Fethiye is in the Mediterranean region of Turkey.