White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives

DOI10.1186/s13662-020-02698-7zbMath1482.35251OpenAlexW3032365193MaRDI QIDQ2078195

Abd-Allah Hyder

Publication date: 25 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02698-7

zbMATH Keywords

exact solutionsKudryashov methodcombined KdV-mKdV equationconformable derivativesstochastic nonlinear evolution equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Soliton equations (35Q51) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fractional partial differential equations (35R11)

Related Items (6)

On Tzitéeica type nonlinear equations for multiple soliton solutions in nonlinear optics ⋮ Novel improved fractional operators and their scientific applications ⋮ An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives ⋮ Analytical manner for abundant stochastic wave solutions of extended KdV equation with conformable differential operators ⋮ White noise functional solutions for Wick-type stochastic fractional mixed KdV-mKdV equation using extended \((G^{'}/G)\)-expansion method ⋮ Optimal control for cooperative systems involving fractional Laplace operators

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