Please use this identifier to cite or link to this item: http://localhost:8080/xmlui/handle/123456789/3756
Title: CONTROLLABILITY OF HIGHER-ORDER FRACTIONAL DAMPED STOCHASTIC SYSTEMS WITH DISTRIBUTED DELAY
Authors: Arthi, G
Suganya, K
Yong-Ki, Ma
Keywords: controllability
fractional damped systems
stochastic systems
Distributed delay
Mittag-Leffler function
Issue Date: 28-Oct-2021
Publisher: Springer Link
Abstract: In this paper, the controllability analysis is proposed for both linear and nonlinear higher-order fractional damped stochastic dynamical systems with distributed delay in Hilbert spaces which involve fractional Caputo derivative of different orders. Based on the properties of fractional calculus, the fixed point technique, and the construction of controllability Gramian matrix, we establish the controllability results for the considered systems. Finally, examples are constructed to illustrate the applicability of obtained results.
URI: https://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-021-03625-0
Appears in Collections:d) 2021-Scopus Open Access (PDF)



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