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<p>This study investigates the existence results for higher-order Hilfer fractional stochastic integrodifferential evolution equations influenced by Lévy noise. We used fractional calculus, cosine families, stochastic analysis, integrodifferential equations, and fixed-point theorems to analyze the main outcomes of the proposed system. Applying Nussbaum fixed-point techniques, we established existence results for higher-order Hilfer fractional stochastic integrodifferential systems. Finally, we presented a theoretical demonstration of the proposed theory.</p>

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Solvability Results for Higher-Order Hilfer Fractional Stochastic Integrodifferential Systems with Poisson Random Measure

  • 期刊论文

  • 发表日期：

    2025年7月17日

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  • J. Pradeesh,
  • V. Vijayakumar

摘要

This study investigates the existence results for higher-order Hilfer fractional stochastic integrodifferential evolution equations influenced by Lévy noise. We used fractional calculus, cosine families, stochastic analysis, integrodifferential equations, and fixed-point theorems to analyze the main outcomes of the proposed system. Applying Nussbaum fixed-point techniques, we established existence results for higher-order Hilfer fractional stochastic integrodifferential systems. Finally, we presented a theoretical demonstration of the proposed theory.