Science and Education Publishing Journal of Mathematical Sciences and Applications 2333-8792 3 1 2015 08 14 Approximate Controllability of Fractional Sobolev Type Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion 3 11 EN Salah H. Abid Mathematics department, Education College, Al-Mustansiriya University, Baghdad, Iraq Sameer Q. Hasan Uday J. Quaez JMSA2015312 10.12691/jmsa-3-1-2 2015 06 25 2015 08 03 2015 08 14 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.