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高阶分数阶微分方程边值问题解的存在性

DOI: 10.11830/ISSN.1000-5013.2013.06.0716

Keywords: 分数阶, 微分方程, 高阶, 边值问题, 不动点定理

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Abstract:

研究一类非线性分数阶高阶微分方程边值问题解的存在性.通过定义一个特殊的压缩映射,利用Banach不动点定理和Leray-Shauder非线性抉择定理,得到所研究方程存在唯一解和至少存在一个解的充分条件,并分别给出一个例子来验证主要结果.

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