一类Caputo-Fabrizio脉冲分数阶微分方程解的存在性
Existence of Solutions for a Class of Caputo-Fabrizio Impulsive Fractional Differential Equations
摘要: 在Banach空间中研究一类具有Caputo-Fabrizio分数阶导数且在非局部条件下的脉冲分数阶微分方程解的存在性。利用Schaefer不动点定理，压缩映射原理，Arzela-Ascoli定理，得到了该脉冲分数阶问题至少一个解和唯一解，并用一个例子验证其中一个结论。
Abstract: The existence of a class of impulsive fractional differential equations with Caputo-Fabrizio fractional derivatives under non-local conditions is studied in Banach space. Based on Schaefer’s fixed point theorem, compression mapping principle and Arzela-Ascoli theorem, at least one solution and the only solution of the pulse fractional order problem are obtained, and one of the conclusions is verified by an example.
文章引用：张德霞, 王仲平. 一类Caputo-Fabrizio脉冲分数阶微分方程解的存在性[J]. 应用数学进展, 2024, 13(12): 5120-5128. https://doi.org/10.12677/aam.2024.1312494

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