Approximate Controllability of Fractional Sobolev Type Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion

Salah H. Abid; Sameer Q. Hasan; Uday J. Quaez

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Approximate Controllability of Fractional Sobolev Type Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion

机译：分数阶布朗运动驱动的分数阶Sobolev型随机微分方程的近似可控性

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In this paper, the approximate controllability of nonlinear Fractional Sobolev type with order Caputo stochastic differential equations driven by mixed fractional Brownian motion in a real separable Hilbert spaces has been studied by using contraction mapping principle, fixed point theorem, stochastic analysis theory, fractional calculus and some sufficient conditions.

机译：本文利用收缩映射原理，不动点定理，随机分析理论，分数阶微积分和线性积分理论，研究了在分数阶布朗运动的混合分数布朗运动驱动的非线性分数阶Sobolev型算子在近似可分希尔伯特空间中的近似可控性。一些足够的条件。

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《Journal of Mathematical Sciences and Applications》 |2015年第1期|共9页
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Salah H. Abid; Sameer Q. Hasan; Uday J. Quaez;
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中图分类数学;
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Approximate Controllability of Fractional Sobolev Type Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion

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