All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Well-posednss and Convergence for Time-Space Fractional Stochastic Schrodinger-BBM Equations
Shang Wu,Jianhua Huang,Yuhong Li
Keywords:Schrodinger-BBM Equation; Caputo fractional derivative; Mild solution; Galerkin finite element method.
      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\"odinger-BBM equation driven by Gaussian noise. The spatial-temporal regularity of the nonlocal stochastic convolution are established. The convergence and numerical simulation are provided by the Galerkin finite element method as well.