Abstract

This article is devoted to the study of the attractivity of solutions to a class of stochastic evolution equations involving Hilfer fractional derivative. By employing the semigroup theory, fractional calculus and the fixed point technique, we establish new alternative criteria to ensure the existence of globally attractive solutions for the Cauchy problem when the associated semigroup is compact.

中文翻译：

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Hilfer分数随机演化方程的吸引力

摘要

本文致力于研究一类涉及希尔弗分数导数的随机演化方程解的吸引性。通过使用半群论，分数阶微积分和不动点技术，我们建立了新的替代准则，以确保当相关半群为紧凑型时，柯西问题具有全局吸引解。