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

Wael W. Mohammed, A. M. Albalahi, S. Albadrani, E. S. Aly, R Sidaoui, A. E. Matouk and A. M. Nagy

Mathematical Problems in Engineering, 2022, vol. 2022, 1-8

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5083784

DOI: 10.1155/2022/5083784

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