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Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm

Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm
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摘要 In this paper, we consider a class of Sobolev-type fractional neutral stochastic differential equations driven by fractional Brownian motion with infinite delay in a Hilbert space. When α>1-H, by the technique of Sadovskii’s fixed point theorem, stochastic calculus and the methods adopted directly from deterministic control problems, we study the approximate controllability of the stochastic system. In this paper, we consider a class of Sobolev-type fractional neutral stochastic differential equations driven by fractional Brownian motion with infinite delay in a Hilbert space. When α>1-H, by the technique of Sadovskii’s fixed point theorem, stochastic calculus and the methods adopted directly from deterministic control problems, we study the approximate controllability of the stochastic system.
出处 《Journal of Applied Mathematics and Physics》 2018年第4期910-924,共15页 应用数学与应用物理(英文)
关键词 FRACTIONAL STOCHASTIC NEUTRAL Functional Differential Equation FRACTIONAL BROWNIAN Motion FRACTIONAL CALCULUS CONTROLLABILITY Fractional Stochastic Neutral Functional Differential Equation Fractional Brownian Motion Fractional Calculus Controllability
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