You can change the bulb, but it won't be covered. They are considered wear items.
The bulb number is PSX24W. Good luck finding them in stores, though. I've heard even Jeep dealers can't get them. You'll probably have to find them online, or just replace the housing all together for something better and readily available. There's some threads on that subject if you use the search function.
The bulbs is a result of wonderful government interference. They said for 2010, fog lights could only be so bright, so Philips designed this bulb and put a positive spin on it by calling it "Highly efficient and long lasting", which you just proved is BS.