If you have 42 minutes, you might want to view Anthony Bourdain's episode in Istanbul during Ramadan here:


at about 26:15 he goes to eat with his taxi driver after the call to prayer signals the end of the day when those fasting can eat.

You may also want to book a trip with said taxi driver, because he would certainly know where to eat when it's allowed:

http://www.besttaxidriver.com/