一类两项非线性泛函边值问题的可解性及其应用

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-04-29 DOI:10.1007/s13540-025-00407-3

Bingzhi Sun, Shuqin Zhang, Dongyu Yang

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引用次数: 0

摘要

本文研究一类具有泛函边界条件的两项分数阶微分方程。我们讨论了这类方程两类解的存在性。在这个意义上，对于一类具有特定边界条件的两项问题，我们利用Matlab软件计算了具有Riemann-Liouville分数阶导数的边值问题的特征值，作为两项分数阶微分方程的应用，并进一步推导了特征值与某些参数的依赖关系。最后，我们指出，利用这种两项分数阶方程估计特征值的方法也将有助于解决其他特征值问题。

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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Solvability for a class of two-term nonlinear functional boundary value problems and its applications

In this paper, we are concerned with a two-term fractional differential equation with functional boundary conditions. We discuss the existence of two kinds of solutions with respect to this type of equation. In this sense, for a class of two-term problems with specific boundary conditions, we use Matlab software to calculate the eigenvalues of the boundary value problems with Riemann-Liouville fractional derivative as an application of the two-term fractional differential equation, and further, we derive the dependence of eigenvalues on some parameters. Finally, we indicate that this method of estimating the eigenvalues by means of such two-term fractional order equations will also help in solving other eigenvalue problems.

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.