An alternative way to control your Fire TV is the official Remote App from Amazon. This article explains how to setup the App (available for iOS, Android and Amazon Hardware) and what features it has (with some bonus for Fire TV Stick users). Surely one of the best ways to control your Fire TV.
Obviously, there’s no built-in support if you want to stream videos from Apple’s iPhone or iPad to an Amazon Fire TV. But in this article, I’ll show you how to add AirPlay to your Fire TV so that you can stream content to your Amazon Fire TV (in the same way as you stream it to an Apple TV).