Existence of positive mild solutions for a class of fractional evolution equations on the half line

被引：0
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作者：
Yi Chen
Zhanmei Lv
Liang Zhang
机构：
[1] China University of Mining and Technology,School of Mathematics
[2] Central South University,School of Business
[3] University of Jinan,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2017卷
关键词：
fractional order; abstract evolution equations; mild solutions; monotone iterative method;
D O I：
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学科分类号：
摘要：
The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assumption of lower and upper solutions, we present some new results on the existence of positive mild solutions for the abstract fractional evolution equations on the half-line.
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