Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces
and | Mar 31, 2018
International Journal of Applied Mathematics and Computer Science
Issues in Parameter Identification and Control (special section, pp. 9-122), Abdel Aitouche (Ed.)
Published Online: Mar 31, 2018
Page range: 123 - 133
Received: Apr 12, 2017
Accepted: Sep 01, 2017
DOI: https://doi.org/10.2478/amcs-2018-0009
Keywords
© by Rajendran Mabel Lizzy
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Sufficient conditions for the controllability of nonlinear stochastic fractional boundary control systems are established. The equivalent integral equations are derived for both linear and nonlinear systems, and the control function is given in terms of the pseudoinverse operator. The Banach contraction mapping theorem is used to obtain the result. A controllability result for nonlinear stochastic fractional integrodifferential systems is also attained. Examples are included to illustrate the theory.