MOST probably: It would seem the battery is damaged and needs to be replaced (did you dropped your phone?). Could you ask a friend for a temporary battery swap to check this, or buy a new one.
Optional: Also, consider doing a factory state formatting, this could solve not only this issue, but make your phone faster (it "refreshes" the phone), but take precaution with your data (remove the SD card!) before that and copy all your contacts to your email provider account (meaning, do not have only one copy of the contact, as the formatting will erase your personal data on the phone), write them on an office excel sheet or paper if necessary.
Hope it serves you.
Narmith
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