非稠定分数次微分方程在非局部条件下解的存在性(英文)

Existence Results for Nondensely Defined Fractional Differential Equations with Nonlocal Conditions

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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. This paper deals with the existence and uniqueness of integral solution for nondensely defined fractional evolution differential equations with nonlocal conditions. （）ur approach is based on integrated semigroup theory, the Krasnoselskii＇s fixed point theorem and the Banach contraction mapping principle.

作者张祖峰刘斌

机构地区华中科技大学数学与统计学院宿州学院数学与统计学院

出处《应用数学》 CSCD 北大核心 2012年第2期403-412,共10页 Mathematica Applicata

基金 Supported by the National Natural Science Foundation of China(11171122) the Anhui Province College Excellent Young Talents Fund Project(2010SQRL195)

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 and uniqueness Fractional differential equations Nondensedomain Integrated semigroup Integral solution

分类号 O175.6 [理学—基础数学] O179.91 [理学—基础数学]

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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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