Title of article :
Exact solutions for the wick-type stochastic time-fractional KdV equations
Author/Authors :
GHANY, HOSSAM A. Taif University - Faculty of Science - Department of Mathematics, Saudi Arabia , GHANY, HOSSAM A. Helwan University - Faculty of Industrial Education - Department of Mathematics, Egypt , HYDER, ABD-ALLAH Al-Azhar University - Faculty of Engineering - Department of Engineering Physics and Mathematics, Egypt
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 timefractional 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.
Journal title :
Kuwait Journal of Science
Journal title :
Kuwait Journal of Science
