The Exact Solutions for Fractional-Stochastic Drinfel’d–Sokolov–Wilson Equations Using a Conformable Operator-Reference-Cited by-同舟云学术

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

Published:2022-08-22 Issue: Volume:2022 Page:1-9
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Al-Askar Farah M.¹^ORCID,Mohammed Wael W.²³^ORCID,Samura Sallieu K.⁴^ORCID,El-Morshedy M.⁵⁶^ORCID

Affiliation:

1. Department of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

4. Department of Mathematics and Statistics, Fourah Bay College, University of Sierra Leone, Sierra Leone

5. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

6. Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

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.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/7133824.pdf

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