Your app will natively support YouTube playlists. We recommend building a playlist focused just for your mobile applications.
YouTube's reference on creating, editing and deleting playlists can be found here.
Individual example of YouTube Playlist:
To find the playlist ID, look for the text following the word list in the playlist's URL. For example, in the above playlist, this is the URL:
...and "PLjAtqSHprxaZtCbYuZ7vJCYHVT990w1Vw" is the Playlist ID.