Mixed Fractional Heat Equation Driven by Fractional Brownian Sheet and Lévy Process

Dengfeng Xia, Litan Yan and Weiyin Fei

Mathematical Problems in Engineering, 2017, vol. 2017, 1-9

Abstract:

We consider the stochastic heat equation of the form where is the fractional noise, is a (pure jump) Lévy space-time white noise, is Laplacian, and is the fractional Laplacian generator on , and are measurable functions. We introduce the existence and uniqueness of the solution by the fixed point principle under some suitable assumptions.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8059796

DOI: 10.1155/2017/8059796

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