一类无穷区间上分数阶微分方程组边值问题正解的存在性
Existence of Solutions for a Class of Fractional Differential Equations with Boundary Value Problems on Infinite Interval
DOI: 10.12677/PM.2019.93058, PDF,    国家自然科学基金支持
作者: 张瑞鑫, 王文霞*：太原师范学院数学系，山西 晋中
关键词: 无穷区间；分数阶微分方程组；边值问题；不动点；Infinite Interval； Fractional Differential Equations； The Boundary Value Problem； Fixed Point
摘要: 本文研究了一类无穷区间上分数阶微分方程组的边值问题。先构造Green函数，并讨论相关性质，再利用锥拉伸与锥压缩定理和Leggett-Williams不动点定理讨论边值问题解的存在性，最后给出例子说明定理的适用性。
Abstract: In this paper, we study existence of solutions for a class of fractional differential equations with boundary value problems on infinite interval by using cone compression, cone expansion fixed point theorem and Leggett-Williams fixed point theorem. Example is presented to illustrate our results.
文章引用：张瑞鑫, 王文霞. 一类无穷区间上分数阶微分方程组边值问题正解的存在性[J]. 理论数学, 2019, 9(3): 427-440. https://doi.org/10.12677/PM.2019.93058

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