具有无限延迟的sobolev型分数阶脉冲随机微分方程的存在性和可控性结果

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/RF.2017.3

A. Boudaoui, Abdeldjalil Slama

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引用次数: 1

摘要

本文证明了Hilbert空间中具有无限延迟的sobolev型分数阶脉冲随机微分方程温和解的存在性。此外，还研究了具有非局部条件和无限延迟的系统的可控性。给出了一个例子来说明所得到的理论。学科分类:65C30, 93B05, 34K40, 34K45。

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Existence and controllability results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay

In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and infinite delay is studied. An example is provided to illustrate the obtained theory. AMS Subject Classification: 65C30, 93B05, 34K40, 34K45.

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Journal of Mathematics and Applications

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