Will not turn on

Hello,

My phone seems to have trouble booting back up.

It ran out of battery last night right before I went to sleep, so I plugged it in. I get the charger indicator (so I know my wire is good) and it seems to be charging fine, however whenever the phone get even a slight charge it automatically starts to turn back on but the charge will stop while it tries to boot up and turns back off. I'm in this endless loop of my phone getting just enough charge to start booting up and then losing that charge and turning off. Is there anyway around this?

Thanks