Seriously?
Seriously? People getting all butthurt because they got banned? You did it to yourself. Bottom line. I hardly doubt that you got banned for nothing. Let's see your chat history. Judging by the way all these butthurt people are talking on here, you were not respectful in game. Just not possible. Sorry, but its that truth.
The only way I could see a wrongful ban (maybe) is if you get a leaverbuster ban for being afk or leaving because of internet connection. But at that point, you should just not play till its fixed. Simple as that.
RIOT DOES NOT BAN PEOPLE FOR NO REASON