Ramkumar, Kasinathan and Ravikumar, Kasinathan and Varshini, Sandrasekaran (2023) Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process. Fixed Point Theory and Algorithms for Sciences and Engineering. pp. 1-23.

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Abstract

The purpose of this work is to investigate a novel class of noninstantaneous impulsive
stochastic integrodifferential equations (SIDEs) driven by Brownian motion and
Rosenblatt process. We construct a new set of adequate assumptions for the
existence and uniqueness of mild solutions using stochastic analysis, analytic
semigroup theory, integral equation theory, and a fixed point methodology.
Additionally, we study the asymptotic behavior of mild solutions and provide
stochastic system controllability results. Finally, we include an example to illustrate the
application of our main findings

Item Type: Article
Uncontrolled Keywords: Integrodifferential evolution equations; Resolvent operator; Controllability; Stability; Rosenblatt process
Depositing User: Mr Team Mosys
Date Deposited: 30 Jun 2023 03:45
Last Modified: 30 Jun 2023 03:45
URI: http://ir.psgcas.ac.in/id/eprint/1929

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