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

Authors

  • HOSSAM A. GHANY Department of Mathematics, Faculty of Science, Taif University, Taif, Saudi Arabia
  • ABD-ALLAH HYDER Department of Mathematics, Faculty of Industrial Education, Helwan University, Cairo, Egypt

Keywords:

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

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.

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Published

07-01-2014