Volume 31, Issue 2
Neutral Fractional Stochastic Differential Equations Driven by Rosenblatt Process

Liping Xu and Zhi Li

10.4208/jpde.v31.n2.3

J. Part. Diff. Eq., 31 (2018), pp. 159-176.

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  • 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.

  • History

Published online: 2018-07

  • AMS Subject Headings

60H15, 60G15, 60H05

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