Blow-up of solutions for a time-space fractional evolution system

被引：3

作者：

Xu, Yong Qiang ^{[1
]}

Tan, Zhong ^{[2
]}

机构：

[1] Zhangzhou Normal Univ, Dept Math & Informat Sci, Zhangzhou 363000, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 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：

10.1007/s10114-013-1433-8

中图分类号：

O29 [应用数学];

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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