On a Fractional SPDE Driven by Fractional Noise and a Pure Jump Lévy Noise in ℝd

الملخص EN

We study a stochastic partial differential equation in thewhole space x∈ℝd, with arbitrary dimension d≥1, driven by fractional noise and apure jump Lévy space-time white noise.

Our equation involves a fractional derivativeoperator.

Under some suitable assumptions, we establish the existence and uniquenessof the global mild solution via fixed point principle.