I like both, though Ballistic: Advanced Edition, I like more. Seems to have more bullet selections, and I find it generally easier to use.
Only downfall is Ballistic AE isn't available on Android, or at least that I have found.
Re: Mobile Apps- Agpplied Ballistic vs. Ballistic: Advanced Edition
I have found AB by Brian Litz to be the best by far. Key features I like, ability to true up the mechanics of your turrets with tall target test and true G7 BC's for every bullet I have shot. With this app I get first round cold bore hits because they provide a very accurate ballistic solution with a trued scope.