序列liouville - caputo型分数阶积分微分方程耦合系统解的存在性

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-11-02 DOI:10.3390/fractalfract7110800

Manigandan Murugesan, Subramanian Muthaiah, Rajarathinam Vadivel, Bundit Unyong

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引用次数: 0

摘要

本研究的目的是建立一个包含顺序分数阶微分方程系统解的存在唯一性。此外，考虑了包含Riemann-Liouville分数积分的边界条件。未知函数、分数阶导数和低阶分数阶积分的存在是非线性存在的必要条件。为了证明本研究的结果，我们使用了Leray-Schauder替代定理和Banach不动点定理。最后，用实例对主要结果进行了验证。

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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Existence of Solutions for Coupled System of Sequential Liouville–Caputo-Type Fractional Integrodifferential Equations

The present investigation aims to establish the existence and uniqueness of solutions for a system containing sequential fractional differential equations. Furthermore, boundary conditions that include the Riemann–Liouville fractional integral are taken into consideration. The existence of unknown functions, fractional derivatives, and fractional integrals at lower orders are necessary for the nonlinearity to exist. In order to provide proofs for the results presented in this study, the Leray–Schauder alternative and the Banach fixed-point theorem are utilised. Finally, examples are used to support the main results.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.