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

Authors
Xu, Yong Qiang Tan, Zhong
Citation
Xu, Yong Qiang et Tan, Zhong, Blow-up of solutions for a time-space fractional evolution system, Acta mathematica Sinica. English series (Print) , 29(6), 2013, pp. 1067-1074
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
6
Year of publication
2013
Pages
1067 - 1074
Database
ACNP
SICI code
Abstract
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.