Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay

被引：23

作者：

Li, Fang ^{[1
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

fractional differential equations; mild solution; infinite delay; measure of noncompactness; fixed point theorem; CAUCHY-PROBLEM; EXISTENCE;

D O I：

10.1186/1687-1847-2013-327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Of concern is the existence of mild solutions to delay fractional differential equations with almost sectorial operators. Combining the techniques of operator semigroup, noncompact measures and fixed point theory, we obtain a new existence theorem without the assumptions that the nonlinearity f satisfies a Lipschitz-type condition, and the resolvent operator associated with A is compact. An example is presented.

引用

页数：11

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