This analysis finds conditions for controllability in fractional damped systems under Lévy noise, implying new insights in stochastic control.
This study investigates the controllability of fractional damped impulsive stochastic control delay systems influenced by Lévy noise. By utilizing fractional calculus theory, the Caputo fractional derivative is employed to examine the systems controllability. Mittag‐Leffler functions and stochastic analysis techniques are used to derive the solution. By applying the Banach contraction principle, sufficient conditions for the controllability of the nonlinear system are established. Finally, an example is provided to validate the results.
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Arthi et al. (2025) studied this question.
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