Exact solutions for the wick-type stochastic time-fractional KdV equations

Abstract

Our aim in this paper is to explore white noise functional solutions for the variable coefficients Wick-type stochastic time-fractional KdV equations. Using the modified fractional sub-equation method, we can find out new exact solutions for the time-fractional KdV equations. Subsequently, the Hermite transform and the inverse Hermite transform are employed to find white noise functional solutions for the variable coefficients Wick-type stochastic time-fractional KdV equations.

Keywords

• Time-fractional KdV equations
• wick product
• white noise
• hermite transform