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Volume :41 Issue : 1 2014      Add To Cart                                                                    Download

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

Auther : HOSSAM A. GHANY AND ABD-ALLAH HYDER

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.