New Analytical Solutions for Time-Fractional Stochastic (3+1)-Dimensional Equations for Fluids with Gas Bubbles and Hydrodynamics

被引：9

作者：

Alhamud, Mohammed ^{[1
]}

Elbrolosy, Mamdouh ^{[1
,2
]}

Elmandouh, Adel ^{[1
,3
]}

机构：

[1] King Faisal Univ, Coll Sci, Dept Math & Stat, POB 400, Al Hasa 31982, Saudi Arabia

[2] Tanta Univ, Fac Sci, Dept Math, Tanta 31527, Egypt

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 01期

关键词：

time-fractional stochastic equation; bifurcation analysis; periodic solution; solitary solution; fractional stochastic solution; NONLINEAR EQUATIONS; LIQUID; EVOLUTION;

D O I：

10.3390/fractalfract7010016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper explores the effects of spatial fractional derivatives and the multiplicative Wiener process on the analytical solutions for (3+1)-dimensional fractional stochastic equations for fluids with gas bubbles. We study the bifurcation of the analytical solutions and introduce new fractional stochastic solutions. We also discuss how the solutions differ depending on the initial conditions. The new solutions are notably more beneficial and impactful for understanding various, significant, and incredibly hard physical phenomena due to the significance of the modified fractional stochastic (3+1)-dimensional equations for fluids with gas bubbles and hydrodynamics. We also discuss the effects of the fractional order and the Wiener process on the obtained analytical solutions.

引用

页数：12

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