<p>This work demonstrates the controllability analysis of an impulsive damped stochastic fractional system incorporating Lévy noise and distributed delay. The solution is derived using the Caputo fractional derivative and Mittag-Leffler functions. The Banach fixed-point theorem is employed to establish the controllability of the nonlinear system. To validate the result, an illustrative example is presented.</p>

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Controllability of nonlinear impulsive fractional damped stochastic systems with distributed delay and Lévy noise

  • G. Arthi,
  • R. Sivasangari

摘要

This work demonstrates the controllability analysis of an impulsive damped stochastic fractional system incorporating Lévy noise and distributed delay. The solution is derived using the Caputo fractional derivative and Mittag-Leffler functions. The Banach fixed-point theorem is employed to establish the controllability of the nonlinear system. To validate the result, an illustrative example is presented.