摘要
该文利用Schauder不动点定理研究了含有变量阶导数的非线性分数阶微分方程初值问题解的存在性.
In this work, we study the existence result of solution to an initial value problem for a differential equation involving with variable-order derivative. Our analysis relies on the Schauder fixed-point theorem and some analysis technique.
作者
张淑琴
胡雷
Zhang Shuqin;Hu Lei(Department of Mathematics, China University of Mining & Technology, Beijing 100083;School of Science, Shandong Jiaotong University, Jinan 250357)
出处
《数学物理学报(A辑)》
CSCD
北大核心
2018年第2期291-303,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(11371364
11671181)~~
关键词
变量阶导数与积分
初值问题
存在性
不动点定理
Derivatives and integrals of variable-order
Initial value problem
Existence ofsolution
Fixed-point theorem.