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<p>In this study, we examine the existence of mild solutions for fractional stochastic evolution equations with infinite delay on an infinite interval. Our methodology is based on the measure of noncompactness, fractional calculus, semigroup theory, and stochastic analysis. Several sufficient conditions for the existence of solutions to the given problem are proposed. Finally, we propose an illustration to validate the findings.</p>

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Existence Results for Fractional Stochastic Evolution Equations with Infinite Delay on an Infinite Interval of Order \(\ell \in (1,2)\)

  • 期刊论文

  • 发表日期：

    2025年5月22日

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  • K. Nandhaprasadh,
  • R. Udhayakumar

摘要

In this study, we examine the existence of mild solutions for fractional stochastic evolution equations with infinite delay on an infinite interval. Our methodology is based on the measure of noncompactness, fractional calculus, semigroup theory, and stochastic analysis. Several sufficient conditions for the existence of solutions to the given problem are proposed. Finally, we propose an illustration to validate the findings.