Iphone 5 won't switch on or charge up

My Iphone 5 was working perfectly, then ran out of battery. So I came home and put it on charge, however, it wasn't charging and after leaving it on charge for 5 hours still won't turn out. Tried my charger in my computer too and it wouldn't charge up that way or even recognise there was a phone plugged in. PLEASE HELP!?!