利用ψ-Hilfer导数定性研究脉冲受电弓分数阶积分微分方程

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4032

M. Beddani, Hamid Beddani, Michal Feckan

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引用次数: 0

摘要

．本文利用ψ -Hilfer分数阶导数研究了脉冲受电弓分数阶积分微分方程在适当的Banach空间中解的存在性和稳定性。我们的方法是基于Darbo和M¨onch的不动点定理，通过Kuratowski的非紧性度量。给出了一个例子来说明我们的方法。

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Qualitative study for impulsive pantograph fractional integro-differential equation via ψ-Hilfer derivative

. In this paper, we study the existence and stability of solutions for impulsive pantograph fractional integro-differential equation via ψ -Hilfer fractional derivative in a appropriate Banach space. Our approach is based on ﬁxed point theorems of Darbo’s and M¨onch via Kuratowski measure of non-compactness. An example is given to illustrate our approach.

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来源期刊

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.