To change your notification settings on your Kindle Fire device, simply follow these steps (may vary depending on device model):
  • Swipe down from the top of the screen
  • Tap "More" > Applications > "Notification Settings"
  • Turn notifications on/off for your app
or 
  • Swipe down from the top of the screen
  • Tap "Settings" > "Notifications & Quiet Time"
  • Tap on the application you want to manage
  • Turn notifications on/off