非线性顺序分数阶积分微分系统：caputo型导数和边界约束

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-08-15 DOI:10.1002/mma.70009

Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu

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引用次数: 0

摘要

近年来，序列分数阶微分方程的研究在科学和工程的多个领域中变得越来越重要。本文研究了一类新的边值问题，该问题具有非局部闭边条件，涉及具有Caputo分数阶积分算子的SFDEs。利用Leray-Schauder替代建立了解的存在性，利用Banach不动点定理证明了解的唯一性。为了说明主要发现，本文给出了几个例子，并对分析中出现的具体案例进行了讨论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Nonlinear Sequential Fractional Integro-Differential Systems: Caputo-Type Derivatives and Boundary Constraints

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Nonlinear Sequential Fractional Integro-Differential Systems: Caputo-Type Derivatives and Boundary Constraints

In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators. The existence of solutions is established using the Leray–Schauder alternative, while the uniqueness is demonstrated through the Banach fixed point theorem. To illustrate the main findings, several examples are presented, along with a discussion of specific cases that arise from the analysis.

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.