一类Caputo-Hadamard型分数阶微分方程耦合系统边值问题 / A Coupled System of Caputo-Hadamard Type Fractional Differential Equation Boundary Value Problem
- Resource Type
- Academic Journal
- Authors
- 潘欣媛; 何小飞; 陈国平; 李治林; PAN Xinyuan; HE Xiaofei; CHEN Guoping; LI Zhilin
- Source
- 应用数学 / Mathematica Applicata. 36(4):987-996
- Subject
- 序列分数阶导数
Caputo-Hadamard型导数
耦合系统
不动点理论
Leray-Schauder 度理论
Sequential fractional differential equation
Caputo-Hadamard derivative
Coupled system
Fixed point theorem
Leray-Schauder degree
- Language
- Chinese
- ISSN
- 1001-9847
本文研究一类具有Caputo-Hadamard型导数的序列分数阶微分方程边值问题.利用Banach不动点定理、Leray-Schauder二择一定理、Leray-Schauder度理论研究边值问题解的存在唯一性,并用一些例子验证结果的有效性.