The Exact Solutions for Fractional-Stochastic Drinfel'd-Sokolov-Wilson Equations Using a Conformable Operator

Farah M. Al-Askar; Wael W. Mohammed; Sallieu K. Samura; M. El-Morshedy

doi:10.1155/2022/7133824

The Exact Solutions for Fractional-Stochastic Drinfel'd-Sokolov-Wilson Equations Using a Conformable Operator

Farah M. Al-Askar
, Wael W. Mohammed
, Sallieu K. Samura
, M. El-Morshedy

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The fractional-stochastic Drinfel'd-Sokolov-Wilson equations (FSDSWEs) perturbed by the multiplicative Wiener process are studied. The mapping method is used to obtain rational, hyperbolic, and elliptic stochastic solutions for FSDSWEs. Due to the importance of FSDSWEs in describing the propagation of shallow water waves, the derived solutions are significantly more useful and effective in understanding various important challenging physical phenomena. In addition, we use the MATLAB Package to generate 3D graphs for specific FSDSWE solutions in order to discuss the impact of fractional order and the Wiener process on the solutions of FSDSWEs.

Original language	English
Article number	7133824
Journal	Journal of Function Spaces
Volume	2022
DOIs	https://doi.org/10.1155/2022/7133824
State	Published - 2022

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title = "The Exact Solutions for Fractional-Stochastic Drinfel'd-Sokolov-Wilson Equations Using a Conformable Operator",

abstract = "The fractional-stochastic Drinfel'd-Sokolov-Wilson equations (FSDSWEs) perturbed by the multiplicative Wiener process are studied. The mapping method is used to obtain rational, hyperbolic, and elliptic stochastic solutions for FSDSWEs. Due to the importance of FSDSWEs in describing the propagation of shallow water waves, the derived solutions are significantly more useful and effective in understanding various important challenging physical phenomena. In addition, we use the MATLAB Package to generate 3D graphs for specific FSDSWE solutions in order to discuss the impact of fractional order and the Wiener process on the solutions of FSDSWEs.",

author = "Al-Askar, \{Farah M.\} and Mohammed, \{Wael W.\} and Samura, \{Sallieu K.\} and M. El-Morshedy",

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year = "2022",

doi = "10.1155/2022/7133824",

language = "English",

volume = "2022",

journal = "Journal of Function Spaces",

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T1 - The Exact Solutions for Fractional-Stochastic Drinfel'd-Sokolov-Wilson Equations Using a Conformable Operator

AU - Al-Askar, Farah M.

AU - Mohammed, Wael W.

AU - Samura, Sallieu K.

AU - El-Morshedy, M.

PY - 2022

Y1 - 2022

N2 - The fractional-stochastic Drinfel'd-Sokolov-Wilson equations (FSDSWEs) perturbed by the multiplicative Wiener process are studied. The mapping method is used to obtain rational, hyperbolic, and elliptic stochastic solutions for FSDSWEs. Due to the importance of FSDSWEs in describing the propagation of shallow water waves, the derived solutions are significantly more useful and effective in understanding various important challenging physical phenomena. In addition, we use the MATLAB Package to generate 3D graphs for specific FSDSWE solutions in order to discuss the impact of fractional order and the Wiener process on the solutions of FSDSWEs.

AB - The fractional-stochastic Drinfel'd-Sokolov-Wilson equations (FSDSWEs) perturbed by the multiplicative Wiener process are studied. The mapping method is used to obtain rational, hyperbolic, and elliptic stochastic solutions for FSDSWEs. Due to the importance of FSDSWEs in describing the propagation of shallow water waves, the derived solutions are significantly more useful and effective in understanding various important challenging physical phenomena. In addition, we use the MATLAB Package to generate 3D graphs for specific FSDSWE solutions in order to discuss the impact of fractional order and the Wiener process on the solutions of FSDSWEs.

UR - https://www.scopus.com/pages/publications/85138026976

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DO - 10.1155/2022/7133824

M3 - Article

AN - SCOPUS:85138026976

SN - 2314-8896

VL - 2022

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 7133824

ER -

The Exact Solutions for Fractional-Stochastic Drinfel'd-Sokolov-Wilson Equations Using a Conformable Operator

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