American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2015, 3(4), 168-176
DOI: 10.12691/ajams-3-4-7
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Approximate Controllability of Fractional Stochastic Perturbed Control Systems Driven by Mixed Fractional Brownian Motion

Salah H. Abid1, , Sameer Q. Hasan1 and Uday J. Quaez1

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

Pub. Date: August 13, 2015

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


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.

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

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