TY - JOUR
T1 - Neutral Fractional Stochastic Differential Equations Driven by Rosenblatt Process
AU - Xu , Liping
AU - Li , Zhi
JO - Journal of Partial Differential Equations
VL - 2
SP - 159
EP - 176
PY - 2018
DA - 2018/07
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n2.3
UR - https://global-sci.org/intro/article_detail/jpde/12515.html
KW - Fractional neutral SDEs
KW - Rosenblatt process
KW - existence and uniqueness.
AB - <p>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.</p>