A Flight Attendant reported extreme fatigue on an all night two-leg flight to ANC and back.

Narrative

This flight left two and half hours later than planned due to a mechanical. It arrives in Anchorage and flight crews come back. It is already scheduled as a 13 hour duty day. With a two hour delay we were at a 15 hour duty day. Flying all night with no ability to rest can be very dangerous. This flight arrived in Anchorage [in the middle of the night home time] and it was turned in 40 minutes. There was absolutely no time to close one's eyes for even a minute. The flight is five hours each way. There were several times on the way back that I was not fully alert and was beginning to nod off. I became very drowsy and tripped a couple of times as I was walking up and down the aisle to check on seat belts. It would have been very helpful to have a place to shut my eyes for a brief power nap to enable me to be more alert during the flight. I would suggest a crew rest seat be made available for this particular flight for flight attendants to be able to rotate a brief rest during this long flight in the middle of the night. After we landed [at home] and we were told to disarm doors I found myself having to concentrate very hard on the door to ensure that I disarm correctly. Additionally during my drive home I found myself nodding off.