Please use this identifier to cite or link to this item: http://localhost:8080/xmlui/handle/123456789/4609
Title: CONTROLLABILITY OF NONLINEAR HIGHER-ORDER FRACTIONALDAMPED STOCHASTIC SYSTEMS INVOLVING MULTIPLE DELAYS
Authors: Ganesan, Arthi
Kalaiselvan, Suganya
Juan J, Nieto
Keywords: controllability,
fractional damped systems
stochastic systems
multiple delays
Mittag-Leffler function
Issue Date: 24-May-2022
Publisher: Vilnius University Press
Abstract: This paper is concerned with the controllability problem for higher-order fractionaldamped stochastic systems with multiple delays, which involves fractional Caputo derivatives ofany different orders. In the process of proof, we have proposed the controllability of consideredlinear system by establishing a controllability Grammian matrix and employing a control function.Sufficient conditions for the considered nonlinear system concerned to be controllable have beenderived by constructing a proper control function and utilizing the Banach fixed point theoremwith Burkholder–Davis–Gundy’s inequality. Finally, two examples are provided to emphasize theapplicability of the derived results
URI: https://www.journals.vu.lt/nonlinear-analysis/article/view/27587/26895
Appears in Collections:2.Article (73)



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