WELL-POSEDNESS AND CONVERGENCE FOR TIME-SPACE FRACTIONAL STOCHASTIC SCHRÖGER-BBM EQUATION

Shang Wu; Jianhua Huang; Yuhong Li

doi:10.11948/20200067

2021 Volume 11 Issue 4

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Shang Wu, Jianhua Huang, Yuhong Li. WELL-POSEDNESS AND CONVERGENCE FOR TIME-SPACE FRACTIONAL STOCHASTIC SCHRÖGER-BBM EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1749-1767. doi: 10.11948/20200067

Citation:

Shang Wu, Jianhua Huang, Yuhong Li. WELL-POSEDNESS AND CONVERGENCE FOR TIME-SPACE FRACTIONAL STOCHASTIC SCHRÖGER-BBM EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1749-1767. doi: 10.11948/20200067

WELL-POSEDNESS AND CONVERGENCE FOR TIME-SPACE FRACTIONAL STOCHASTIC SCHRÖGER-BBM EQUATION

1.
College of Liberal Arts and Science, National University of Defense Technology, Changsha, China
2.
School of Hydropower and Information Engineering, HuaZhong University of Science and Technology, Wuhan, China

Corresponding authors: Email: jhhuang32@nudt.edu.cn(J. Huang); Email: jhhuang32@nudt.edu.cn(J. Huang)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11771449, 61841302)

Abstract

Abstract

In this paper, the Banach fixed point theorem combined with Mittag-Leffler functions has been used to obtain the existence and uniqueness of global mild solution for a kind of time-space fractional stochastic Schr򤩮ger-BBM equation driven by Gaussian noise. The spatial-temporal regularity of the nonlocal stochastic convolution is established. Furthermore the convergence and simulation is provided by the Galerkin finite element method as well.
- Schröger-BBM Equation /
- Caputo fractional derivative /
- mild solution /
- Galerkin finite element method
MSC: 37L55, 60H15

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References

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