There's a new project called Holos which makes it a lot easier to host a Fediverse server on your own mobile device. You can follow the project at:
The official site explains how it works:
️ https://holos.social/how-it-works
To manage expectations, it's still in its early days and mainly for techy people at the moment. However, it will be interesting to follow its development 
Holos is by the makers of the popular Mastodon/Fediverse mobile app Fedilab.