Analytical and Numerical Investigations on the Existence and Stability of Fractional p $$ p $$ -Laplacian Equations Subject to Integral Boundary Conditions

IF 2 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2026-08-09 Epub Date: 2026-05-12 DOI:10.1002/mma.70789

Faouzi Haddouchi

引用次数: 0

Abstract

This work aims to carry out a detailed investigation on the existence, uniqueness, and stability of the solutions of $p$ -Laplacian Caputo fractional differential equations with integral boundary condition. To begin, the properties of the associated Green's functions are derived. Next, the existence and uniqueness of the solutions are then examined by employing two classical fixed point theorems. Additionally, we verify that the formulated problem preserves its stability in the sense defined by Ulam–Hyers. Examples including tables and figures with numerical results are provided to illustrate the applications of our findings.

查看原文本刊更多论文

积分边界条件下分数阶p $$ p $$ -拉普拉斯方程存在性与稳定性的解析与数值研究

本文研究了具有积分边界条件的p $$ p $$ - laplace Caputo分数阶微分方程解的存在唯一性和稳定性。首先，推导出相关格林函数的性质。然后，利用两个经典不动点定理检验了解的存在唯一性。此外，我们还验证了公式化问题在Ulam-Hyers定义的意义上保持其稳定性。举例，包括表格和数字结果，以说明我们的发现的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.