摘要
主要探讨一类Caputo型分数阶微分方程边值问题解的存在唯一性.通过将边值问题转化为等价的Fredholm积分方程,在巴拿赫空间上运用不动点定理,证明了积分方程解的存在性和唯一性.
The existence and uniquness of solutions of boundary value problem for a Caputo-type fractional differential equation were investigated.By transforming the boundary value problem into an equivalent Fredholm integral equation, and employing fixed point theorem in a Banach space, the existence and uniqueness of the solutions of the integral equation was proved.
出处
《郑州大学学报(理学版)》
CAS
北大核心
2017年第2期1-6,共6页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金项目(11371364)