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Existence of Solution to BVP for Fractional Differential Equation
Author(s): ZHOU Wenxue
Pages: 405-
412
Year: 2011
Issue:
4
Journal: Acta Analysis Functionalis Applicata
Abstract: 应用Green函数将分数阶微分方程边值问题可转化为等价的积分方程.近来此方法被应用于讨论非线性分数阶微分方程边值问题解的存在性.讨论非线性分数阶微分方程边值问题,应用Green函数,将其转化为等价的积分方程,并设非线性项满足Carathéodory条件,利用非紧性测度的性质和M(o)nch\'s不动点定理证明解的存在性.
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