After months of waiting, Epic has finally released a mobile version of the Epic Games Store, which is now available for Android devices worldwide as well as EU iOS devices.
Honestly I know people here are against Epic, but Google Play is such garbage that I welcome the epic store on Android.
TLDR: you can get it from the url http://epic.download
Looks like it only has Fortnite, Fall Guys and Rocket League on there for now