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:
鉃★笍 @HolosSocial
The official site explains how it works:
鉃★笍 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 馃檪
Holos is by the makers of the Mastodon/Fediverse mobile app Fedilab.