What is the complete eqn. of motion of a quad copter's propeller?

Hi, I'm not sure if this is the right place to ask this question but I have posted it in many communities with no response. I have done alot of research about the eqn. of motion for a propeller on a quad copter and found that all of articles related to this subject only consider the gyroscopic effect of the propeller and neglect the rest of its dynamics. I'm trying to find out why and what the whole eqn. of motion is. Can anyone help?