Well first off WiFi dos not equal internt.
Many people have this misconception, and the ISPs and Industry dont help it at all.
WiFi is just a form of wireless communicatin, it is just a wireless ethernet cable. WiFi provides you with a wireless connection to your router and thus your network. Your network is all the devices connected to it, and interent if internet is connceted to it. Thus in your circumstance you have a perfectly fine connection to the router, its just your routers communication to the internet that is the problem.
Can other devices get on the internet or is it just your phone?