JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 81-88.doi: 10.6040/j.issn.1671-9352.0.2017.089

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Existence and controllability of nonlocal stochastcic integro-differential equations driven by fractional Brownian motion

CUI Jing, LIANG Qiu-ju   

  1. School of Mathematics &
    Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2017-03-10 Online:2017-12-20 Published:2017-12-22

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Abstract: We study the existence and controllability of nonlocal stochastcic integro-differential equations driven by fractional Brownian motion in a real separable Hilbert space. Sufficient conditions are derived by using the Banach fixed point theorem and stochastic analysis thoery. An example is provided to illustrate the theory.

Key words: controllability, fractional Brownian motion, nonlocal condition, stochastcic integro-differential equations

CLC Number: 

  • O211.63
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