Author:
Kasinathan Ravikumar,Kasinathan Ramkumar,Sandrasekaran Varshini,Nieto Juan J.
Abstract
AbstractThe 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.
Funder
Agencia Estatal de Investigación
Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia
Publisher
Springer Science and Business Media LLC