Existence and uniquenes results for systems of impulsive functional stochastic differential equations driven by fractional Brownian motion with multiple delay

Existence and uniquenes results for systems of impulsive functional stochastic differential equations driven by fractional Brownian motion with multiple delay
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DOI:
10.12775/tmna.2018.009
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发表时间:
2018-05
影响因子:
0.7
通讯作者:
M. Ferhat;T. Blouhi
M. Ferhat;T. Blouhi
中科院分区:
数学4区
文献类型:
--
作者:
M. Ferhat;T. Blouhi

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研究了一类具有分数布朗运动的多时滞脉冲泛函微分方程解的存在唯一性。我们的方法是基于Perov不动点定理和一个新版本的Schaefer不动点在广义度量和Banach空间。
We present some existence and uniqueness results on impulsive functional differential equations with multiple delay with fractional Brownian motion. Our approach is based on the Perov fixed point theorem and a new version of Schaefer's fixed point in generalized metric and Banach spaces.