Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations
Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations
Abstract In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed. We use two different approaches, namely the Riccati-Bernoulli sub-ordinary differential equations and sine-cosine methods, to obtain novel elliptic, hyperbolic, trigonometric, and rational stochastic solutions. Due to the significance …