一类具积分边值条件的有序分数阶微分方程解

Solution of Sequential Fractional Differential Equations with Integral Boundary Value Conditions

摘要: 本文研究了一类带有非局部积分边值条件的 阶有序分数阶微分方程，其中 。借助于Banach压缩映像原理，非线性压缩和Leray-Schauder度理论，得到该问题解的存在性若干结果，并给出一个例子来说明所得结果的应用性。

Abstract: In this paper, we investigate a class of nonlocal integral boundary value problems of sequential fractional differential equations of order with . By means of Banach’s contraction mapping principle, nonlinear contraction and Leray-Schauder degree theory, some existence result of solutions are obtained. An illustrative example is given to show the applicability of our results.

文章引用：周宗福, 蒋伟. 一类具积分边值条件的有序分数阶微分方程解[J]. 应用数学进展, 2018, 7(8): 1095-1104. https://doi.org/10.12677/AAM.2018.78127

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