Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Fixed Point Theory and Algorithms for Sciences and Engineering

سال: 2023

ISSN: ['2730-5422']

DOI: https://doi.org/10.1186/s13663-023-00744-z