Existence results for Riemann-Liouville fractional neutral evolution equations

被引：0
作者：
Yi-Liang Liu
Jing-Yun Lv
机构：
[1] Guangxi University for Nationalities,College of Sciences
来源：
Advances in Difference Equations | / 2014卷
关键词：
fractional neutral evolution equations; Riemann-Liouville fractional derivative; mild solutions; analytic semigroup; measure of noncompactness;
D O I：
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摘要：
In this paper, by using the fractional power of operators and the theory of measure of noncompactness, we discuss a class of fractional neutral evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the existence of mild solutions for fractional neutral evolution equations in the cases C0 semigroup is compact or noncompact. We give an example to illustrate the applications of the abstract results.
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