<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces

International Journal of Applied Mathematics and Computer Science

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...

Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces

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
boundary controllability, stochastic fractional systems, pseudoinverse, integrodifferential systems

© by Rajendran Mabel Lizzy

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces

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

Keywordsboundary controllability, stochastic fractional systems, pseudoinverse, integrodifferential systems

© by Rajendran Mabel Lizzy

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
boundary controllability, stochastic fractional systems, pseudoinverse, integrodifferential systems