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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Controllability of Nonlinear Stochastic Fractional Systems with Lévy Noise

Discontinuity, Nonlinearity, and Complexity 6(3) (2017) 409--420 | DOI:10.5890/DNC.2017.09.009

R. Mabel Lizzy; K. Balachandran; M. Suvinthra

Department of Mathematics, Bharathiar University, Coimbatore 641046, India.

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Abstract

In this paper we study the controllability of linear and nonlinear stochastic fractional systems driven by Lévy noise. Here we use the Lévy-Itô decomposition of an arbitrary Lévy process into Brownian and Poisson parts. The necessary and sufficient conditions for controllability of the linear system is obtained. Also, the nonlinear system is shown controllable under the assumption that the corresponding linear system is controllable and using the Banach contraction principle.

Acknowledgments

The work of the first author was supported by the University Grants Commission under grant number: MANF-2015-17-TAM-50645 from the government of India.

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