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On a jump-type stochastic fractional partial differential equation with fractional noises |
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| Authors: | Junfeng Liu Litan Yan Yuquan Cang |
| Institution: | 1. School of Mathematics and Statistics, Nanjing Audit University, 86 West Yushan Rd., Pukou, Nanjing 211815, PR China;2. Department of Mathematics, Donghua University, 2999 North Renmin Rd., Songjiang, Shanghai 201620, PR China |
| Abstract: | We study a class of stochastic fractional partial differential equations of order α>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. |
| Keywords: | Stochastic fractional partial differential equation Fractional derivative operator Poisson measure Fractional noise |
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