SOLUTIONS TO NONLOCAL FRACTIONAL DIFFERENTIAL EQUATIONS USING A NONCOMPACT SEMIGROUP

被引：0

作者：

Ji, Shaochun ^{[1
]}

Li, Gang ^{[2
]}

机构：

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China

[2] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; nonlocal conditions; measure of noncompactness; EVOLUTION-EQUATIONS; EXISTENCE; CONTROLLABILITY; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some ex istence results are obtained when the nonlocal term is compact and when is Lipschitz continuous.

引用

页数：14

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