Ravikumar Kasinathan and Ramkumar Kasinathan (2024) New discussion on trajectory controllability of time invariant impulsive neutral stochastic functional integrodi�erential equations via noncompact semigroup. New discussion on trajectory controllability of time invariant impulsive neutral stochastic functional integrodi�erential equations via noncompact semigroup, 24.

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Abstract

The purpose of this paper is to determine a new discussion on trajectory controllability (Tcontrollability)
of time invariant impulsive neutral stochastic functional integrodi�erential equations
(INSFIDEs) driven by a fractional Brownian motion (fBm) via noncompact semigroup in a Hilbert
space. Initially, with the help of the Hausdor� measure of noncompactness, the M�onch �xed
point theorem and some inequality technique, some new criteria to guarantee the mild solution
for INSFIDEs are obtained. Next, the systems T-controllability is then examined using Gronwalls
inequality. An example is given to validate the results at the end. Our work extends the work of

Item Type: Article
Uncontrolled Keywords: T-controllability, Time invariant delay, Impulsive neutral stochastic integrodi�erential system, Noncompact semigroup, Resolvent operator
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 26 Feb 2025 09:22
Last Modified: 26 Feb 2025 09:22
URI: https://ir.psgcas.ac.in/id/eprint/2381

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