具有无限延迟的Rosenblatt过程驱动的分数中立型泛函微分方程

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2023-06-27 DOI:10.1515/rose-2023-2009

A. Lahmoudi, E. Lakhel

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引用次数: 0

摘要

摘要本文研究一类由Rosenblatt过程驱动的具有无限时滞的分数阶脉冲中立型泛函微分方程。利用不动点理论，建立了新的温和解存在的一组充分条件。最后，通过实例说明了理论结果的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fractional neutral functional differential equations driven by the Rosenblatt process with an infinite delay

Abstract This paper concerns a class of fractional impulsive neutral functional differential equations with an infinite delay driven by the Rosenblatt process. A set of sufficient conditions are established for the existence of new mild solutions using fixed point theory. Finally, an illustrative example is provided to demonstrate the applicability of the theoretical result.

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来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量