My '12 Edge did this around labor day, after driving most of the way home, we fueled up, started the car, and the screen was black.. no radio, etc. After getting home, about an hour later, it still hadn't turned on. I went out later that evening, and it started out black, but about 15 min in, it did the sync logo, and it started coming up.
Yesterday we drove back from atlanta (about a 2 hr drive) turn off the car to get gas... and the screen is black again. I have driven it a few times since it stopped.. and it hasn't come alive yet.