stochastic differential equation

Solution to the Fokker-Plank equation in the path integral method

A Fokker–Plank equation of multiple variables corresponding to a system of SDE is considered.  Solution for transition probability density is written in a form of path integral.  It is shown that the proposed path integral brings a known result received by a different approach for Heston model. Differences of results based on path integral given in a number of papers were also pointed out.