Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval

被引：0
|
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：
Boundary Value Problems | / 2017卷
关键词：
fractional order; abstract evolution equations; mild solutions; monotone iterative method;
D O I：
暂无
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学科分类号：
摘要：
Based on an equivalent integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of fractional evolution equations with nonlocal conditions on infinite interval. Without the assumption of lower and upper solutions, we present a new result on the existence and uniqueness of positive mild solutions for the abstract fractional evolution equations by using the monotone iterative method.
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