Fractional Parabolic Differential Equation with Delays Driven by Lévy Noise

机译：由Lévy噪声驱动的分数阶抛物型时滞微分方程。

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The current paper is devoted to stochastic fractional delayed parabolic equation driven by Lévy space-time white noise noise. By Banach Fixed Point theorem, the existence of a local unique L2(R)-valued solution are shown with suitable initial condition.

机译：本文主要研究由Lévy时空白噪声噪声驱动的随机分数阶时滞抛物方程。通过Banach不动点定理，以合适的初始条件显示了局部唯一L2（R）值解的存在。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-11|共11页
会议地点 Nanjing(CN)
作者
Tianlong Shen; Jianhua Huang; Jin Li;
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作者单位

Department of Mathematics ,National University of Defense and TechnologyChangsha,P.R.China 410073;

Department of Mathematics ,National University of Defense and TechnologyChangsha,P.R.China 410073;

Department of Mathematics ,National University of Defense and Technology Changsha,P.R.China 410073;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional parabolic equation; time delay; Lévy noise; Banach fixed point theorem.;

机译：分数阶抛物方程；时滞；Lévy噪声； Banach不动点定理。;

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2. Existence and stability of mild solutions to parabolic stochastic partial differential equations driven by Lévy space-time noise [J] . Luo Chaoliang, Guo Shangjiang Electronic Journal of Qualitative Theory of Differential Equations . 2016,第45a48期

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3. Approximate euler method for parabolic stochastic partial differential equations driven by space-time lévy noise [J] . Dunst T., Hausenblas E., Prohl A. SIAM Journal on Numerical Analysis . 2012,第6期

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机译：分数Lévy噪声驱动的随机偏微分方程的白噪声方法

Fractional Parabolic Differential Equation with Delays Driven by Lévy Noise

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