Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise

Tianlong Shen; Jianhua Huang; Caibin Zeng

doi:10.3934/dcdsb.2018056

Article Contents

2018, Volume 23, Issue 4: 1523-1533. Doi: 10.3934/dcdsb.2018056

This issue Previous Article An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems Next Article Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE

Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise

1.
College of Science, National University of Defense Technology, Changsha, 410073, China
2.
School of Mathematics, South China University of Technology, Guangzhou, 510640, China

* Corresponding author: Jianhua Huang
* Corresponding author: Jianhua Huang

Received: March 31, 2017

Revised: July 31, 2017

Early access: February 2018

Published: April 2018

The authors are supported by NSF of China(11371367,11771449).

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Abstract

We present the time-spatial regularity of the nonlocal stochastic convolution for Caputo-type time fractional nonlocal Ornstein-Ulenbeck equations, and establish the existence and uniqueness of mild solutions for time fractional and space nonlocal stochastic Boussinesq equations driven by Gaussian white noise.

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Mathematics Subject Classification: Primary: 37L55; Secondary: 60H15.

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References

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