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<p>This paper deals with the existence, uniqueness, the Ulam–Hyers (UH) and Ulam–Hyers–Rassias (UHR) Stability of the fractional stochastic integro-differential equations (FSIDEs) with non-instantaneous impulsive and nonlocal conditions in a Hilbert space. The results are obtained by using stochastic analysis techniques, fixed point theory and generalized Grönwall inequality. An example is given to illustrate the effectiveness of the proposed results.</p>

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Existence, uniqueness and UHR stability of non-instantaneous impulsive fractional stochastic integro-differential equations

  • 期刊论文

  • 发表日期：

    2025年6月10日

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  • Samiha Mouchir,
  • Abdeldjalil Slama

摘要

This paper deals with the existence, uniqueness, the Ulam–Hyers (UH) and Ulam–Hyers–Rassias (UHR) Stability of the fractional stochastic integro-differential equations (FSIDEs) with non-instantaneous impulsive and nonlocal conditions in a Hilbert space. The results are obtained by using stochastic analysis techniques, fixed point theory and generalized Grönwall inequality. An example is given to illustrate the effectiveness of the proposed results.