Controllability of fractional noninstantaneous impulsive integrodifferential stochastic delay system

The paper concerned with the controllability of nonlinear fractional noninstantaneous (NI) impulsive integrodifferential stochastic delay system (ISDS). Some sufficient conditions for the controllability of fractional NI impulsive ISDS have been derived by the new approach of measure of noncompactne...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2021-06, Vol.38 (2), p.654-683
Main Authors: Priyadharsini, J, Balasubramaniam, P
Format: Article
Language:English
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Summary:The paper concerned with the controllability of nonlinear fractional noninstantaneous (NI) impulsive integrodifferential stochastic delay system (ISDS). Some sufficient conditions for the controllability of fractional NI impulsive ISDS have been derived by the new approach of measure of noncompactness in finite dimensional space. This NI impulsive ISDS is more reliable for the evolution process in pharmacotherapy. By using Mönch fixed point theorem, existence results have been proved. The result is new in the finite dimensional setting with NI impulse.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnab004