only works one a charger

i have the same problem and its been like this for months! only reason i haven't bought a new phone is bc in august i upgrade for free! its april 2015.....this isn't an old post..please somebody help i can't take it anymore!!!!!!!!!!!!!!!!!!!!!!1 ive cracked the back bc i get so angry i smack my stupid phone around so much bc tht helps...replaced the battery, bought many portable chargers bc it only works one a charger and even then sometimes it shuts off and says its dead for a really long time...please somebody have some solution