We use the present perfectThe aspect expressing completion. E.g.: He’s finished university. continuousThe aspect expressing duration, formed with be + verb-ing. E.g.: What are you doing? tenseA grammatical category that is marked by verb inflection. To express when an event or action happens in time or when a state exists, we use tenses. for actionA general term expressing that somebody or something does somethings which started in the past and are still in progressAn action is in progress when it is happening. E.g.: When I arrived he was surfing. ("he was surfing") in the present or have just finished.

I've been waiting for you for ages.
He has been living in that flat since last January.

Diagrams

Form: present perfect continuous
Present perfect continuous The difference between present perfect and present perfect continuous