Consider the following stochastic partial differential equation,∂tut(x) = Lut(x) + ξσ(ut(x)) ˙F (t, x),where ξ is a positive parameter and σ is a globally Lipschitz continuous function. The stochastic forcing term ˙F (t, x) is white in time but possibly colored in space. The operator L is a non-local operator. We study the behaviour of the solution with respect to the parameter ξ, extending the results in  and .
|Journal||Chaos, Solitons and Fractals|
|Publication status||Accepted/In press - 28 Mar 2017|
- stochastic fractional PDEs
- large time behavior
- colored noise