XPS 15-9550 Charging issue

In the past week, I have had problems with charging.  When I put charge cord into the small hole on the side of the computer the computer will say no charge but plugged in but the little green light to indicate it is charging will not come on.

Now the small light on the cord I plug in is green so it looks like it is working.  

When I charge the light on the computer goes on for maybe 3-5 seconds then goes out.  I have to keep plugging the charger cord into the computer over and over again until the green light on the computer stays on and it starts to charge.  Is it the cord?  Or is it the small hole I plug it into that will not accept it.  I assume it is loose or something.  I hate having to unplug and plug it again and again- I fear I will break someting?

As you can tell I am a novice.  I bought the thing in 8-2016.  Please help. thanks in advance