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<p>This study explores the sufficient conditions for the null controllability of noninstantaneous impulsive Atangana–Baleanu fractional stochastic differential equations with Poisson jumps in a Hilbert space. Leveraging fractional analysis, compact semigroup theory, fixed point theorems, and stochastic analysis, we establish fundamental results that deepen the understanding of null controllability in complex stochastic systems. To demonstrate the applicability of our findings, we present a detailed example.</p>

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Influence of noninstantaneous impulsive on null controllability of Atangana–Baleanu fractional stochastic differential equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月16日

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  • M. Elsaid Ramadan,
  • Mahmoud M. El-Borai,
  • Taher A. Nofal,
  • Adel Darwish,
  • Hamdy M. Ahmed

摘要

This study explores the sufficient conditions for the null controllability of noninstantaneous impulsive Atangana–Baleanu fractional stochastic differential equations with Poisson jumps in a Hilbert space. Leveraging fractional analysis, compact semigroup theory, fixed point theorems, and stochastic analysis, we establish fundamental results that deepen the understanding of null controllability in complex stochastic systems. To demonstrate the applicability of our findings, we present a detailed example.