I can't have a discussion on an OS I don't use and know nothing about. Fedora seems to have limited support because the community is smaller, so things take longer to be available for it. This is one reason why I don't use it.
Here's a link to the Fedora Project. They have a guide to setting up SDK which includes ADB. Not sure if this will work for you... If not, you may have to do some serious googling.
HOWTO Setup Android Development - FedoraProject