TY - JOUR ID - 904 TI - On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Li, Z. AU - Xu, L. AU - Li, X. AD - School of Information and Mathematics‎, ‎Yangtze University‎, ‎Jingzhou 434023‎, ‎China. AD - School of Information and Mathematics‎, ‎Yangtze University‎, ‎Jingzhou 434023‎, ‎China and‎ ‎School of Mathematical Sciences‎, ‎Beijing Normal University‎, ‎Beijing 100875‎, ‎China. Y1 - 2016 PY - 2016 VL - 42 IS - 6 SP - 1479 EP - 1496 KW - Stochastic neutral evolution equations‎ KW - ‎fractional Brownian motion‎ KW - ‎infinite delay‎ KW - ‎non-Lipschitz condition‎ DO - N2 - 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 UR - http://bims.iranjournals.ir/article_904.html L1 - http://bims.iranjournals.ir/article_904_070920b9fa736281ee5571ed2c3f208f.pdf ER -