摘要
文章研究一类非线性Riemann-Liouville型分数阶微分方程耦合系统解的存在性.利用格林函数的性质和Guo-Krasnosel'skii's不动点定理,得到该耦合系统解存在性的充分条件.
The existence of solutions for a coupled system of nonlinear Riemann-Liouville fractional differential equations was studied in this paper.By using the properties of Green's function and Guo-Krasnosel'skii's fixed point theorem,the sufficient conditions for the existence were obtained.
出处
《徐州工程学院学报(自然科学版)》
CAS
2018年第1期41-47,共7页
Journal of Xuzhou Institute of Technology(Natural Sciences Edition)
基金
国家自然科学数学天元基金项目(11526177)
江苏省自然科学基金项目(BK20151160)
徐州工程学院培育项目(XKY2017113)
关键词
分数阶微分方程
GREEN函数
耦合系统
不动点定理
fractional differential equations
Green's function
coupled system
fixed point theorem