Year: 2018
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 2 : pp. 159–176
Abstract
In this paper, we are concerned with a class of neutral fractional stochastic partial differential equations driven by a Rosenblatt process. By the stochastic analysis technique, the properties of operator semigroup and combining the Banach fixed-point theorem, we prove the existence and uniqueness of the mild solutions to this kind of equations driven by Rosenblatt process. In the end, an example is given to demonstrate the theory of our work.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n2.3
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 2 : pp. 159–176
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Fractional neutral SDEs