| 非稠定分数次微分方程在非局部条件下解的存在性(英文) |
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| 引用本文： | 张祖峰,刘斌.非稠定分数次微分方程在非局部条件下解的存在性(英文)[J].应用数学,2012,25(2):403-412. |
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| 作者姓名： | 张祖峰 刘斌 |
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| 作者单位： | 1. 华中科技大学数学与统计学院,湖北武汉430074;宿州学院数学与统计学院,安徽宿州234000
2. 华中科技大学数学与统计学院,湖北武汉,430074 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(11171122);the Anhui Province College Excellent Young Talents Fund Project(2010SQRL195) |
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| 摘 要： | 本文利用积分半群理论,Krasnoselskii不动点定理与压缩映象原理研究了非稠定分数次发展方程在非局部条件下积分解的存在性与唯一性.
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| 关 键 词： | 存在唯一性 分式微分方程 非稠定 积分半群 积分解 |
Existence Results for Nondensely Defined Fractional Differential Equations with Nonlocal Conditions |
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| ZHANG Zufeng
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LIU Bin.Existence Results for Nondensely Defined Fractional Differential Equations with Nonlocal Conditions[J].Mathematica Applicata,2012,25(2):403-412. |
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| Authors: | ZHANG Zufeng LIU Bin |
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| Institution: | 1(1.School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China;2.School of Mathematics and Statistics,Suzhou University,Suzhou 234000,China) |
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| Abstract: | This paper deals with the existence and uniqueness of integral solution for nondensely defined fractional evolution differential equations with nonlocal conditions.Our approach is based on integrated semigroup theory,the Krasnoselskii’s fixed point theorem and the Banach contraction mapping principle. |
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| Keywords: | Exi(s)tence and uniqueness Fractional differential equations Nondense domain Integrated semigroup Integral solution |
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