Space-time fractional stochastic partial differential equations with Lévy Noise

Xiangqian Meng, Erkan Nane

We consider non-linear time-fractional stochastic heat type equation $$\frac{\partial^βu}{\partial t^β}+ν(-Δ)^{α/2} u=I^{1-β}_t \bigg[\int_{\mathbb{R}^d}σ(u(t,x),h) \stackrel{\cdot…