Blow-up of solutions for a time-space fractional evolution system |
| |
| Authors: | Yong Qiang Xu Zhong Tan |
| |
| Affiliation: | 11433. Department of Mathematics and Information Sciences, Zhangzhou Normal University, Zhangzhou, 363000, P. R. China
21433. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China
|
| |
| 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. |
| |
| Keywords: | Local existence fractional integrals and derivatives evolution systems |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
|
