Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations

• Autorzy: Mohammed Wael W. , Al-Askar Farah M. , El-Morshedy Mahmoud

Identyfikatory

DOI

10.1515/dema-2022-0233

• Języki publikacji: EN

Abstrakty

EN

In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed. We use two different approaches, namely the Riccati-Bernoulli sub-ordinary differential equations and sine-cosine methods, to obtain novel elliptic, hyperbolic, trigonometric, and rational stochastic solutions. Due to the significance of the Davey-Stewartson equations in the theory of turbulence for plasma waves, the discovered solutions are useful in explaining a number of fascinating physical phenomena. Moreover, we illustrate how the fractional derivative and Brownian motion affect the exact solutions of the SFDSEs using MATLAB tools to plot our solutions and display a number of three-dimensional graphs. We demonstrate how the multiplicative Brownian motion stabilizes the SFDSE solutions at around zero.

Słowa kluczowe

EN

fractional Davey-Stewartson equations; stochastic Davey-Stewartson equations; Riccati-Bernoulli sub-ODE method

PL

równania ułamkowe Daveya-Stewartsona; równania stochastyczne Daveya-Stewartsona; równania różniczkowe Riccatiego-Bernoulliego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220233
• Opis fizyczny: Bibliogr. 37 poz., rys.

Twórcy

autor

Mohammed Wael W.

• Department of Mathematics, Faculty of Science, University of Ha’il 2440, Ha’il, Saudi Arabia
• Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

autor

Al-Askar Farah M.

• Department of Mathematical Science, Collage of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

autor

El-Morshedy Mahmoud

• Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).