分数阶微分方程初值问题的比较定理Some New Comparison Theorem for Initial Value Problem of Fractional Differential Equations
郑艳萍,杨慧
摘要(Abstract)：
结合分数阶微分方程初值问题的三种不同类型的上、下解的定义,构造出其相应的积分算子,利用微分方程与积分方程的等价性及分析中经典的证明技巧,给出了分数阶微分方程初值问题的三种比较定理。这些结果是原比较定理的推广。
关键词(KeyWords)： 分数阶微分方程;比较定理;Caputo型导数
基金项目(Foundation): 国家自然科学基金(11401424);; 山西省教育科学“十三五”规划基础教育提升计划专项(ZJ-17011)
作者(Author): 郑艳萍,杨慧
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