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arXiv · 2311.17503

Optimal controllability for multi-term time-fractional stochastic systems with non-instantaneous impulses

Asma Afreen·Abdur Raheem·Areefa Khatoon
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Abstract

In the present paper, we study the existence and optimal controllability of a multi-term time-fractional stochastic system with non-instantaneous impulses. Using semigroup theory, stochastic analysis theory, and Krasnoselskii's fixed point theorem, we first establish the existence of a mild solution. Further, we obtain that there exists an optimal state-control pair of the system. Some examples are given to illustrate the abstract results.

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Asma Afreen, Abdur Raheem, Areefa Khatoon. 2023-11-29. Optimal controllability for multi-term time-fractional stochastic systems with non-instantaneous impulses. https://arxiv.org/abs/2311.17503

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