 ##  [Fokker–Planck Equation](/fokker-planck-equation) 

  ##  [Fokker–Planck Equation](https://natural.quantumdictionary.io/fokker-planck-equation-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A parabolic partial differential equation that describes the time evolution of the probability density function of the state of a stochastic process, typically the diffusion limit of a stochastic differential equation's law.

 

 

 

 

 





 

 



 ##  [Fokker–Planck Equation](https://mathlogic.quantumdictionary.io/fokker-planck-equation-1) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A partial differential equation (also called the forward Kolmogorov equation) that governs the time evolution of the probability density function of a Markov diffusion process by encoding drift and diffusion (noise) terms.