Work

Fractional stochastic parabolic equations with fractional noise

Year: 2024

Type: article

Abstract: In this paper, we consider the fractional stochastic parabolic equations driven by fractional noise. We first define the mild solution by the time-fractional 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 Hölder continuity of the mild solution with respect to time and spatial variables.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024177

Authors: Yubo Duan, Yiming Jiang, Yawei Wei, Zimeng Zheng

Institution: Nankai University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402927756

FWCI: 1.53

Cites: 27

Cited by: 2

Related to: 10