Good morning!

There are a few groundcovers that could fit in the space you are describing. As long as the area gets some sun and is not in full shade all day. Here is a great factsheet with a couple different suggestions. My favorites for a shady area are vinca - once established it will spread by itself and has a nice purple flower. Ajuga - may be better is the space is smaller as this one will not spread by itself. 

The list linked above has suggestions of all different types of grounds covers - please reach out if you have any other questions!

Rachel