Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

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：
Boundary Value Problems | / 2018卷
关键词：
Fractional evolution equations; Mild solutions; Nonlocal conditions; 26A33; 34A08; 34G20;
D O I：
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学科分类号：
摘要：
By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis. Based on it, the existence result is established by Knaster’s theorem, and the uniqueness of the mild solution is obtained using the Banach contraction principle.
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