摘要
讨论一类具有相互作用非线性项的分数阶微分方程组的爆破解.首先给出分数阶导数的形式,并得到分数阶微分方程组局部解的存在性,其次由Hlder不等式估计方程组的解,得到其在有限时间内的爆破解,并给出其解爆破时间上界的估计.
In this paper,we discuss the blow-up solutions of a nonlinear system of fractional differential equations. Firstly we give the form of fractional derivatives and get the local existence of solutions to the system of the integral equations. Secondly we obtain the blow-up solutions to the fractional differential equations in a finite time by using Hlder's inequality,and the upper bound of blowingup time.
出处
《四川师范大学学报(自然科学版)》
CAS
北大核心
2016年第1期15-19,共5页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学基金(11371267)
四川省教育厅重点科研基金(14ZA0031)
关键词
分数阶微分方程
爆破解
上界
HOLDER不等式
fractional differential equation
blowing-up solution
upper bound
Holder inequality