Smooth transitions on mixing console from ONE input?

I'm stepping in last minute and DJing our school fashion show the only problem is the person who set up the music put everything into an iPhone playlist. I was wonder if there's any way to get a smooth transition from one input soure. I Have the ability to cue and fade if that means anything

A DJing app on your iPhone would make that possible. I can't think of any of other way of mixing one audio source and one audio input. Traktor is supposed to be pretty good. Should get the job done…
https://itunes.apple.com/...35999?mt=8

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