On a nonlinear stochastic fractional differential equation of fluid dynamics

被引：1
|
作者：
Jornet, Marc [1 ]
Nieto, Juan J. [2 ]
机构：
[1] Departament de Matemàtiques, Universitat de València, Burjassot,46100, Spain
[2] CITMAga, Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela,15782, Spain
来源：
Physica D: Nonlinear Phenomena | 2024年 / 470卷
关键词：
Liouville equation - Nonlinear equations - Stochastic models;
D O I：
10.1016/j.physd.2024.134400
中图分类号：
学科分类号：
摘要：
We deal with a nonlinear stochastic fractional differential equation, in the Caputo and Itô senses, that generalizes important models of fluid dynamics, such as the Bagley–Torvik and the Basset equations. We investigate the integral formulation, existence, uniqueness, moment bounds, and continuity with respect to input data. Some conjectures are raised. © 2024 The Authors
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