I have an iPhone running iOS 9.1 and an Apple Airport. The iPhone says it is connected to the Airport and the Airport Utility says it is connected to the internet, however the phone is not able to browse the internet (Chrome app throws error ERR_NAME_NOT_RESOLVED). All other household devices (PC, laptop, WiFi-only iPad, Smart TV) connect to internet via AirPort fine with good speed.
I already tried resetting the router, restarting both router and phone, resetting phone network settings, nothing worked. During my install (1 day ago) the phone was able to connect with the installer's router, but I was told my existing AirPort would work better for our home network.