Space-time fractional stochastic partial differential equations with Lévy noise

We consider non-linear time-fractional stochastic heat type equation and in ( d + 1) dimensions, where α ∈ (0, 2] and d < min{2, β −1 } α , ν > 0, is the Caputo fractional derivative, −(−Δ) α /2 is the generator of an isotropic stable process, is the fractional integral operator, N ( t , x ) a...

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