Approximate Controllability of Fractional Stochastic Perturbed Control Systems Driven by Mixed Fractional Brownian Motion

Salah H. Abid^1, , Sameer Q. Hasan¹ and Uday J. Quaez¹

¹Mathematics department, Education College, Al-Mustansiriya University, Baghdad, Iraq

Cite this paper:
Salah H. Abid, Sameer Q. Hasan and Uday J. Quaez. Approximate Controllability of Fractional Stochastic Perturbed Control Systems Driven by Mixed Fractional Brownian Motion. American Journal of Applied Mathematics and Statistics. 2015; 3(4):168-176. doi: 10.12691/ajams-3-4-7

Abstract

In this paper, the approximate controllability of nonlinear Fractional order 0<α<1 Riemann-Liouville type stochastic perturbed control systems driven by mixed fractional Brownian motion in a real separable Hilbert spaces has been studied by using Krasnoselskii's fixed point theorem, stochastic analysis theory, fractional calculus and some sufficient conditions.

Keywords:
approximate controllability mixed fractional brownian motion fixed point theorem perturbed control systems mild solution control function

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