Optimal Controllability for Multi-Term Time-Fractional Stochastic Systems with Non-Instantaneous Impulses

A. Afreen (), A. Raheem () and A. Khatoon ()
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A. Afreen: Aligarh Muslim University
A. Raheem: Aligarh Muslim University
A. Khatoon: Aligarh Muslim University

Journal of Theoretical Probability, 2024, vol. 37, issue 4, 2912-2940

Abstract: 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 techniques, 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 for the system under certain assumptions. Some examples are given to illustrate the abstract results.

Keywords: Caputo fractional derivative; Multi-term time-fractional system; Stochastic system; Existence of mild solution; Optimal control; 34A08; 34K30; 34K45; 34K50; 93E20 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10959-024-01360-2

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