* A kinetic scheme with time dependent rates: When the connections depend on the actual time (i.e. matrix  depends on the time,  ), the process is not Markovian, and the master equation obeys, .  The reason for a time dependent rates is, for example, a time dependent external field applied on a Markovian kinetic scheme (thus making the process a not Markovian one).
* A semi-Markovian kinetic scheme: When the connections represent multi exponential jumping time probability density functions, the process is semi-Markovian, and the equation of motion is an integro-differential equation termed the generalized master equation: .
An example for such a process is a reduced dimensions form. 
* The Fokker Planck equation: when expanding the master equation of the kinetic scheme in a continuous space coordinate, one finds the Fokker Planck equation.