Iphone Keeps turning off and restarting?

I iphone 5 stays on for a minute or two after being turned on. I can still use everyapp but after a bit the screen crashes and restarts and I don't know what to do. I've rebooted the phone and reestarted it and left if off so I'm wondering if I should just replace the battery if hats what the problem is.

So. You have done a master wipe and reload the OS?

in that case. Sure. Battery may be it - but could be something else

as I understand you can have it assessed for free through Apple. Book a Genius Bar appointment

you may be lucky and they will acknowledge fault - can happen even when items are out of warranty

At least it restarts.

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