| 具无限时滞的分数阶微分方程解的存在理论 |
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| 引用本文： | 刘改云,钟记超.具无限时滞的分数阶微分方程解的存在理论[J].湘南学院学报,2011,32(2):11-14. |
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| 作者姓名： | 刘改云 钟记超 |
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| 作者单位： | 刘改云,Liu Gaiyun(南华大学,数理学院,湖南,衡阳,421001);钟记超,Zhong Jichao(湖南工业大学,科技学院,湖南,株洲,412008) |
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| 基金项目： | 南华大学学科带头人基金，南华大学博士启动基金 |
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| 摘 要： | 利用不动点理论与非线性Learay-Schauder型,研究了一类具有无限时滞与初值问题的分数阶微分方程解的存在性.
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| 关 键 词： | 分数阶微分方程 存在唯一性 Lerey-Schauder不动点理论 |
Existence of Solutions for a Class of Fractional Order Differential Equations with Infinite Delay |
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| Liu Gaiyun,Zhong Jichao.Existence of Solutions for a Class of Fractional Order Differential Equations with Infinite Delay[J].Journal of Xiangnan University,2011,32(2):11-14. |
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| Authors: | Liu Gaiyun Zhong Jichao |
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| Institution: | 1 School of Mathematics and Physics,University of South China,Hengyang 421001,China;2 College of Science and Technology,Hunan University of Technology,Zhuzhou 412008,China) |
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| Abstract: | In this paper,we probe into a class of initial problems of fractional order differential equations with infinite delay.Using Banach contraction maps principle and nonlinear alternative of Leray-Schauder type,we obtain some sufficient conditions for the existence of the solutions for the equation. |
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| Keywords: | fractional order differential equations existence uniqueness Leray-Schauder's fixed point theorem |
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