Fragmented MP4 ... MP4 (.mov, .mp4) files organized to allow live streaming.
Ordinary, unfragmented, MP4 has separate "boxes" for media metadata and data. It's often necessary to random-access such files, often to near the end, to play them correctly. That doesn't work for live streaming: the end is unknown because it's still in the future.
Most players can play both ordinary and fragmented mp4.
More description here.