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On exact solutions for the stochastic time fractional Gardner equation
Journal article   Peer reviewed

On exact solutions for the stochastic time fractional Gardner equation

Zeliha Korpinar, Fairouz Tchier, Mustafa Inc and Ayesha Abdulrahman Alorini
Physica scripta, Vol.95(4), p.45221
01/04/2020
DOI: https://doi.org/10.1088/1402-4896/ab62d5

Abstract

Hermite transforms the modified fractional sub-equation method the stochastic time fractional Gardner equation
In this work, the stochastic time fractional Gardner equation is analysed. Some white noise functional solutions for this equation are obtained by using white noise analysis, Hermite transforms and the modified fractional sub-equation method. These solutions include exact stochastic trigonometric functions, hyperbolic functions solutions and wave solutions.

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