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<p>In this paper, we investigate the existence and controllability of stochastic fractional semilinear differential inclusions with weighted time delay by using stochastic analysis, fractional calculus theory and the fixed point theorem. On the basis of studying the non-emptiness and compactness of mild solution sets, we prove the theorems that guarantee the complete controllability of the system under consideration.</p>

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Existence and controllability of stochastic fractional semilinear inclusion problem with weighted time delay

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • Li Xin Gong,
  • Yong Zhou

摘要

In this paper, we investigate the existence and controllability of stochastic fractional semilinear differential inclusions with weighted time delay by using stochastic analysis, fractional calculus theory and the fixed point theorem. On the basis of studying the non-emptiness and compactness of mild solution sets, we prove the theorems that guarantee the complete controllability of the system under consideration.