关于hilfer型分数阶脉冲微分方程

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2022-06-14 DOI:10.1155/2022/7803065

Chanisara Metpattarahiran, K. Karthikeyan, Panjaiyan Karthikeyann, T. Sitthiwirattham

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引用次数: 1

摘要

本文利用Schauder不动点定理，利用Hilfer分数阶导数和近扇区算子证明了脉冲分数阶微分方程的存在性。我们已经讨论了两个场景，其中相关的半群是紧的和非紧的。我们还通过一个例子来支持主要观点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Hilfer-Type Fractional Impulsive Differential Equations

Using the Schauder fixed point theorem, we prove the existence of impulsive fractional differential equations using Hilfer fractional derivative and nearly sectorial operators in this paper. We’ve gone over the two scenarios where the related semigroup is compact and noncompact for this purpose. We also go over an example to back up the main points.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks