一类无穷区间上的多点分数阶边值问题解的存在性和唯一性
Existence and Uniqueness of Solutions to a Class of Multi-Point Fractional Boundary Value Problem on the Infinite Interval
DOI: 10.12677/AAM.2017.68115, PDF, HTML, XML, 下载: 1,445  浏览: 2,385 
作者: 郝晓红：安徽信息工程学院，安徽 芜湖；程智龙：苏州科技大学数理学院，江苏 苏州
关键词: 分数阶微分方程；多点边值问题；非线性抉择定理；Banach压缩映像原理；Fractional Differential Equation； Multi-Point Boundary Value Problem； Nonlinear Alternative Theorem； Banach Fixed Point Theorem
摘要:

本文讨论一类无穷区间上的多点分数阶边值问题，的可解性。通过应用Leray-Schauder非线性抉择定理和Banach压缩映像原理，得到解的存在性和唯一性。最后给出例子说明定理的适用性。

In this paper, we consider the following multi-point boundary value problem of fractional differ-ential equation on the infinite interval ,

By using Leray-Schauder Nonlinear Alternative theorem and Banach fixed point theorem, some results on the existence and uniqueness of solutions can be established.

Abstract:
文章引用：郝晓红, 程智龙. 一类无穷区间上的多点分数阶边值问题解的存在性和唯一性[J]. 应用数学进展, 2017, 6(8): 956-967. https://doi.org/10.12677/AAM.2017.68115

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