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

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

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.