The Analytical Solutions of the Stochastic Fractional Kuramoto–Sivashinsky Equation by Using the Riccati Equation Method-Reference-Cited by-同舟云学术

The Analytical Solutions of the Stochastic Fractional Kuramoto–Sivashinsky Equation by Using the Riccati Equation Method

Published:2022-05-11 Issue: Volume:2022 Page:1-8
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Mohammed Wael W.¹²^ORCID,Albalahi A. M.¹^ORCID,Albadrani S.¹,Aly E. S.³^ORCID,Sidaoui R¹^ORCID,Matouk A. E.⁴⁵^ORCID

Affiliation:

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

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

3. Mathematics Department, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

4. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

5. College of Engineering, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Abstract

In this work, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation using conformable derivative. The Riccati equation method is used to get the analytical solutions to the space-fractional stochastic Kuramoto–Sivashinsky equation. Because this equation has never been examined with space-fractional and multiplicative noise at the same time, we generalize some previous results. Moreover, we display how the multiplicative noise influences on the stability of obtained solutions of the space-fractional stochastic Kuramoto–Sivashinsky equation.

Funder

University of Hail

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/5083784.pdf

Reference51 articles.

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