Controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion.

ISA Trans

Department of Mathematics, The Gandhigram Rural Institute - Deemed University, Gandhigram 624302, Dindigul, Tamil Nadu, India. Electronic address:

Published: November 2018

This paper presents a new set of sufficient conditions for controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion (fBm) in finite dimensional space using fractional calculus, fixed point technique and stochastic analysis approach. In particular, we discuss the complete controllability for nonlinear fractional stochastic integrodifferential systems under the proved result of the corresponding linear fractional system is controllable. Finally, an example is presented to illustrate the efficiency of the obtained theoretical results.

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http://dx.doi.org/10.1016/j.isatra.2017.11.005DOI Listing

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