求解相空间中具有Caputo-Hadamard导数的耦合脉冲分数阶微分方程

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-08-29 DOI:10.28924/2291-8639-21-2023-95

H. Hammad, H. Aydi, Doha A. Kattan

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引用次数: 0

摘要

本文将Caputo-Hadamard导数引入到脉冲分数阶微分方程中，得到了一类新的脉冲分数阶形式。进一步，在状态相关延迟和相空间中适当的假设条件下，推导了所提问题解的存在性。最后，所考虑的问题得到了一个说明性应用程序的支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces

In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks