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On a jump-type stochastic fractional partial differential equation with fractional noises. (English) Zbl 1246.35215
Summary: We study a class of stochastic fractional partial differential equations of order $\alpha >1$ driven by a (pure jump) Lévy space-time white noise and a fractional noise. We prove the existence and uniqueness of the global mild solution by the fixed point principle under some suitable assumptions.

MSC:
35R60PDEs with randomness, stochastic PDE
35R11Fractional partial differential equations
35A01Existence problems for PDE: global existence, local existence, non-existence
35A02Uniqueness problems for PDE: global uniqueness, local uniqueness, non-uniqueness
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References:
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