Author/Authors :
-، - نويسنده School of Information and Mathematics,
Yangtze University, Jingzhou 434023, China. Li, Z. , -، - نويسنده School of Information and Mathematics,
Yangtze University, Jingzhou 434023, China. Xu, L. , -، - نويسنده School of Information and Mathematics,
Yangtze University, Jingzhou 434023, China and
School of Mathematical Sciences,
Beijing Normal University, Beijing 100875, China. Li, X.
Abstract :
In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory
