I just resetted my xbox 360 and the crashing I had stopped completely. Just my game graphics is slowly getting out of jerky stuttering movements in the screen graphics but it's all cool.
you have to reset your entire console whether you have your ps4 serial number same as xbox 360 which I have. type that in and re format your ps4.
It's because of the previous saving from your hardrive that can cause all the crashing.
or you may need an update.
hardrive-storage=top button for storage and format. but you need your console serial number first.
I hope that helps you out.
but be warned once you reset your console everything will delete.
glad to be of help