FRACTIONAL STOCHASTIC PARABOLIC EQUATIONS WITH FRACTIONAL NOISE

被引：1
|
作者：
Duan, Yubo [1 ]
Jiang, Yiming [2 ,3 ]
Wei, Yawei [2 ,3 ]
Zheng, Zimeng [2 ]
机构：
[1] Tianjin Univ Sci & Technol, Coll Sci, Tianjin, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin, Peoples R China
[3] Nankai Univ, LPMC, Tianjin, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年
基金：
中国国家自然科学基金;
关键词：
Stochastic partial differential equations; time-fractional Duhamel's principle; Caputo fractional derivatives; fractional noise; DUHAMELS PRINCIPLE; DRIVEN; MODELS;
D O I：
10.3934/dcdss.2024177
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the fractional stochastic parabolic equations driven by fractional noise. We first define the mild solution by the timefractional Duhamel's principle, then prove the existence and uniqueness of the mild solution by estimating the Fourier transform of the Green function. Furthermore, we explore the H & ocirc;lder continuity of the mild solution with respect to time and spatial variables.
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页数：25
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