The Analytical Solutions of the Stochastic Fractional Kuramoto–Sivashinsky Equation by Using the Riccati Equation Method. (11th May 2022)

• Record Type: Journal Article
• Authors: Mohammed, Wael W.; Albalahi, A. M.; Albadrani, S.; Aly, E. S.; Sidaoui, R; Matouk, A. E.
• Other Names: Nagy A. M. Guest Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-05-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/5083784
• Languages: English
• ISSNs: 1024-123X

Abstract

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.