A very important field of stellarator theory is based on the kinetic equati
ons. This paper reviews the kinetic equations and the reduction of the phas
e-space dimension by averaging of the fastest time scales. The difference o
f stellarators to axisymmetric tokamaks is discussed, and the main aspects
for stellarator confinement optimization in the neoclassical theory are ana
lyzed. Stellerator-specific applications of the kinetic theory are given in
examples.