Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives

IF 2.6 Q2 MULTIDISCIPLINARY SCIENCES

Beni-Suef University Journal of Basic and Applied Sciences Pub Date : 2025-09-27 DOI:10.1186/s43088-025-00688-w

Mohamed Houas, Abdul Hamid Ganie, Mohammad Esmael Samei, Tina Maniee

引用次数: 0

Abstract

We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction mapping principle and Leray–Schauder’s alternative. Also, the stability of the mentioned fractional sequential hybrid system is defined and studied. Lastly, we demonstrate some numerical examples in order to confirm our results.

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具有顺序Caputo分数阶导数的耦合混合系统的可解性和稳定性

应用Banach收缩映射原理和Leray-Schauder替代等不动点定理，得到了一类分数阶Caputo序列耦合混合系统解的存在性、唯一性和稳定性的新结果。同时，对分数阶序混合系统的稳定性进行了定义和研究。最后，通过数值算例验证了本文的研究结果。

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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来源期刊

Beni-Suef University Journal of Basic and Applied Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

2.60

自引率

0.00%

发文量

期刊介绍： Beni-Suef University Journal of Basic and Applied Sciences (BJBAS) is a peer-reviewed, open-access journal. This journal welcomes submissions of original research, literature reviews, and editorials in its respected fields of fundamental science, applied science (with a particular focus on the fields of applied nanotechnology and biotechnology), medical sciences, pharmaceutical sciences, and engineering. The multidisciplinary aspects of the journal encourage global collaboration between researchers in multiple fields and provide cross-disciplinary dissemination of findings.