eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2015-08-13
3
4
168
176
10.12691/ajams-3-4-7
AJAMS2015347
article
Approximate Controllability of Fractional Stochastic Perturbed Control Systems Driven by Mixed Fractional Brownian Motion
Salah H. Abid
abidsalah@gmail.com
1
Sameer Q. Hasan
1
Uday J. Quaez
1
Mathematics department, Education College, Al-Mustansiriya University, Baghdad, Iraq
In this paper, the approximate controllability of nonlinear Fractional order 0<<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.
http://pubs.sciepub.com/ajams/3/4/7/ajams-3-4-7.pdf
approximate controllability
mixed fractional brownian motion
fixed point theorem
perturbed control systems
mild solution
control function