• Title of article

    On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays

  • Author/Authors

    Li ، Zhi - ‎Yangtze University‎ , Xu ، Liping - ‎Yangtze University‎ , Li ، Xiong - ‎Yangtze University‎

  • Pages
    18
  • From page
    1479
  • To page
    1496
  • 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
  • Keywords
    Stochastic neutral evolution equations , fractional Brownian motion , infinite delay , non , Lipschitz condition
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2016
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2456011