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：

暂无

中图分类号：

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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