Browsing by Author "Hyder, Abd-Allah"

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    Exact solutions for the wick-type stochastic time-fractional KdV equations
    (ACADEMIC PUBLICATION COUNCIL, 2014) Ghany, Hossam A.; Hyder, Abd-Allah
    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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    The fractional coupled KdV equations: Exact solutions and white noise functional approach
    (IOP PUBLISHING LTD, 2013) Ghany, Hossam A.; Okb El Bab, A. S.; Zabel, A. M.; Hyder, Abd-Allah
    Variable coefficients and Wick-type stochastic fractional coupled KdV equations are investigated. By using the modified fractional sub-equation method, Hermite transform, and white noise theory the exact travelling wave solutions and white noise functional solutions are obtained, including the generalized exponential, hyperbolic, and trigonometric types.