| 具有时滞的中立型分数阶微分方程解的存在性 |
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| 引用本文： | 王琳,熊成基. 具有时滞的中立型分数阶微分方程解的存在性[J]. 南华大学学报(自然科学版), 2014, 28(1): 84-87 |
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| 作者姓名： | 王琳 熊成基 |
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| 作者单位： | [1]南华大学数理学院,湖南衡阳421001; [2]湖南工商职业学院,湖南衡阳421001 |
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| 摘 要： | 本文主要用压缩映射原理，和Leray-Schauder不动点定理来讨论具有时滞的中立型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 存在性 唯一性 Leray-Schauder不动点定理 巴纳赫不动点定理 |
| 收稿时间： | 2013-09-21 |
Existence Results for Fractional Order Neutral Functional Differential Equations with Infinite Delay |
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| WANG Lin and XIONG Cheng-ji. Existence Results for Fractional Order Neutral Functional Differential Equations with Infinite Delay[J]. Journal of Nanhua University(Science and Technology), 2014, 28(1): 84-87 |
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| Authors: | WANG Lin and XIONG Cheng-ji |
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| Affiliation: | WANG Lin, XIONG Cheng-ji (1. School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China; 2. Hunan Administration for Industry and Commerce, Career Academy, Hengyang, Hunan 421001, China) |
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| Abstract: | In this paper, the contraction principle nonlinear alternative of Leray-Schauder type is used to investigate the existence of solutions for fractional order neutral functional e-quations with infinite delay. |
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| Keywords: | fractional differential equations existence uniqueness Leray-Schauder fixedpoint theorem the banach fixed point theorem |
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