Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half-line

被引：0
|
作者：
Zhanmei Lv
Yanping Gong
Yi Chen
机构：
[1] Central South University,School of Business
[2] China University of Mining and Technology,School of Mathematics
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：
In this paper, we get a new form equivalent integral equation for a class of evolution equations of fractional order with nonlocal conditions on the half-line. With the aid of it, the uniqueness of the mild solution is obtained by the Banach contraction theorem. Also, we present the existence and uniqueness theorem of positive mild solutions by the monotone iterative method without assumption of lower and upper solutions.
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