Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay

Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
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无限时滞分数阶随机脉冲中性泛函微分方程解的存在性

DOI:
10.1186/s13662-017-1106-5
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发表时间:
2017-02
影响因子:
4.1
通讯作者:
Jinde Cao
Jinde Cao
中科院分区:
数学3区
文献类型:
--
作者:
Haibo Bao;Jinde Cao

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本文讨论了一类具有无限延迟的分数阶随机脉冲中立型泛函微分方程,这类方程在粘弹性和电化学等许多实际应用中出现。利用分数计算、不动点定理和随机分析技术,导出了保证解存在的充分条件。最后给出了一个算例,对主要结果进行了验证。
This paper addresses a class of fractional stochastic impulsive neutral functional differential equations with infinite delay which arise from many practical applications such as viscoelasticity and electrochemistry. Using fractional calculations, fixed point theorems and the stochastic analysis technique, sufficient conditions are derived to ensure the existence of solutions. An example is provided to prove the main result.
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