Stokes and Darcy laws have found wide application in the field of hydrodynamics. Over recent decades, a lot of significant research efforts have focused on exploring the interconnected Stokes-Darcy model to gain deeper insights into fluid dynamics phenomena.Various types of interface and boundary conditions, improved models have been proposed and thoroughly studied in this context. Moreover, the stochastic Stokes-Darcy model has emerged as a valuable tool for incorporating uncertainties and refining our understanding of these processes. In this review, we will analyze the classical , and stochastic  Stokes-Darcy models, aiming to comprehensively explore their advantages and drawbacks, as well as some numerical methods. We focus on the importance of fractional order derivatives in models in hydrodynamics and analyze the advantages of new generalized fractional order stochastic Stokes-Darcy models.