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<p>This paper is concerned with the Hyers–Ulam stability of the mild solution of a higher-order non-instantaneous impulsive fractional neutral stochastic integro-differential equations involving nonlocal conditions in Hilbert spaces. Using the theory of a strongly continuous cosine family of bounded linear operators, stochastic analysis theory, and with the help of the Banach fixed point theorem, we derive a new set of sufficient conditions for the Hyers–Ulam stability of the mild solution to the stochastic system in the <i>p</i>-moment. An example is also considered for illustrating abstract theoretical result.</p>

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Hyers–Ulam Stability of Higher-order Non-instantaneous Impulsive Fractional Neutral Stochastic Integrodifferential Equations with Nonlocal Conditions

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  • 出版模式：

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  • 发表日期：

    2026年7月31日

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  • Dhanalakshmi Kasinathan,
  • Dimplekumar Chalishajar,
  • Ravikumar Kasinathan,
  • Ramkumar Kasinathan

摘要

This paper is concerned with the Hyers–Ulam stability of the mild solution of a higher-order non-instantaneous impulsive fractional neutral stochastic integro-differential equations involving nonlocal conditions in Hilbert spaces. Using the theory of a strongly continuous cosine family of bounded linear operators, stochastic analysis theory, and with the help of the Banach fixed point theorem, we derive a new set of sufficient conditions for the Hyers–Ulam stability of the mild solution to the stochastic system in the p-moment. An example is also considered for illustrating abstract theoretical result.