iPhone 4s keeps restarting during charging
At this very moment my iPhone is off as it is low battery, I went to plug in to charge and I noticed my phone starting up with the apple logo then when it reached the homescreen it immediately switched off and began to start up again, over and over continuesly restarting. I've come across the recovery mode way of fixing but obviously cannot do this as my phone won't stay on long enough and cannot charge properly because of the restarting. Is there any way to stop it from turning on like this so it can fully charge?
Thanks.
iPhone 4S, iOS 6.0.1