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分数阶微分方程耦合系统共振边值问题解的存在性
Existence of Solutions for Two-point Boundary Value Problem of a Coupled Fractional Differential Equations at Resonance
【摘要】 利用Mawhin迭合度理论,讨论了共振条件下分数阶微分方程耦合系统两点边值问题解的存在性,得到了解的存在性和唯一性的充分条件,最后通过一个例子加以说明.
【Abstract】 In this article,we establish the existence results for two-point boundary value problem of a coupled fractional differential equations at resonance by means of the coincidence degree theory.Furthermore,a result on the uniqueness of solution is obtained.We give an example to demonstrate our results.
【关键词】 Mawhin迭合度;
分数阶微分方程;
共振;
两点边值;
【Key words】 Coincidence degree; Fractional differential equation; Resonance; Two-point boundary conditions;
【Key words】 Coincidence degree; Fractional differential equation; Resonance; Two-point boundary conditions;
【基金】 国家自然科学基金(11371364);2013年北京市教委科学技术研究项目(KM201310016001)资助
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2014年05期
- 【分类号】O175.8
- 【被引频次】3
- 【下载频次】92