TY - JOUR AU - Li, Zhi PY - 2017 TI - Fractional neutral stochastic differential equations driven by \(\alpha\)-stable process JO - Journal of Nonlinear Sciences and Applications SP - 4713--4723 VL - 10 IS - 9 AB - In this paper, we are concerned with a class of fractional neutral stochastic partial differential equations driven by \(\alpha\)-stable 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 \(\alpha\)-stable process. In the end, an example is given to demonstrate the theory of our work. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.09.14 DO - 10.22436/jnsa.010.09.14 ID - Li2017 ER - TY - BOOK TI - Lévy processes and stochastic calculus AU - D. 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