| 带有状态依赖时滞的分数中立型积分微分方程温和解的存在性 |
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| 引用本文： | 刘志伟,张五力.带有状态依赖时滞的分数中立型积分微分方程温和解的存在性[J].甘肃科学学报,2011,23(4):23-25. |
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| 作者姓名： | 刘志伟 张五力 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,甘肃 兰州 730070;兰州职业技术学院,甘肃 兰州 730070
2. 兰州交通大学数理与软件工程学院,甘肃 兰州,730070 |
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| 摘 要： | 考虑一类带有状态依赖时滞的抽象分数中立型积分微分方程温和解的存在性.在一些适当的假设条件下,利用合适的不动点原理,建立了此类分数中立型积分微分方程温和解存在的充分条件.
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| 关 键 词： | 分数中立型积分微分方程 状态依赖时滞 温和解 不动点 |
Existence of Mild Solutions for Fractional Neutral Integro-differential Equations with State-Dependent Delay |
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| LIU Zhi-wei,ZHANG Wu-li.Existence of Mild Solutions for Fractional Neutral Integro-differential Equations with State-Dependent Delay[J].Journal of Gansu Sciences,2011,23(4):23-25. |
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| Authors: | LIU Zhi-wei ZHANG Wu-li |
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| Institution: | LIU Zhi-wei1,2,ZHANG Wu-li1(1.School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China,2.Lanzhou Voc-Tech College,China) |
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| Abstract: | The existence of mild solutions for a class of Abstract fractional neutral integro-differential equations with state-dependent delay is considered.The main results are obtained by using some suitable fixed point theorem combined with some necessary hypotheses. |
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| Keywords: | fractional neutral integro-differential equation state-dependent delay mild solution fixed point |
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