Blow-up of Solutions for a Time-space Fractional Evolution System

被引：0

作者：

Yong Qiang XU ^{[1
]}

Zhong TAN ^{[2
]}

机构：

[1] Department of Mathematics and Information Sciences, Zhangzhou Normal University

[2] School of Mathematical Sciences, Xiamen University

来源：

Acta Mathematica Sinica,English Series | 2013年 / 06期

基金：

中国国家自然科学基金;

关键词：

Local existence; fractional integrals and derivatives; evolution systems;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, firstly, we study the local existence and uniqueness of mild solutions for fractional evolution systems with nonlocal in time nonlinearity. Then, we claim that such a mild solution is weak solution of this system. Finally, we prove a blow-up result under some conditions.

引用

页码：1067 / 1074

页数：8

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