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

作　　者：Yong Qiang XU Zhong TAN 

机构地区：[1]Department of Mathematics and Information Sciences, Zhangzhou Normal University [2]School of Mathematical Sciences, Xiamen University

出　　处：《Acta Mathematica Sinica,English Series》2013年第6期1067-1074,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China-NSAF(Grant No.10976026)

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.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.

关 键 词：Local existence fractional integrals and derivatives evolution systems 

分 类 号：O175[理学—数学]