Hyers-Ulam Stability Results of Solutions for a Multi-Point φ-Riemann-Liouville Fractional Boundary Value Problem

被引：0

作者：

Ait Mohammed, Hicham ^{[1
]}

Mirgani, Safa M. ^{[2
]}

Tellab, Brahim ^{[1
]}

Amara, Abdelkader ^{[1
]}

Mezabia, Mohammed El-Hadi ^{[1
]}

Zennir, Khaled ^{[3
]}

Bouhali, Keltoum ^{[3
]}

机构：

[1] Kasdi Merbah Univ, Appl Math Lab, BP511, Ouargla 30000, Algeria

[2] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Dept Math & Stat, Riyadh 13318, Saudi Arabia

[3] Qassim Univ, Coll Sci, Dept Math, Buraydah 52571, Saudi Arabia

来源：

MATHEMATICS | 2025年 / 13卷 / 09期

关键词：

iterative methods; fractional derivatives; integral equation; multi-term boundary value problem; energy and industry; stability analysis; DIFFERENTIAL-EQUATION;

D O I：

10.3390/math13091450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we investigate the existence, uniqueness, and Hyers-Ulam stability of a multi-term boundary value problem involving generalized phi-Riemann-Liouville operators. The uniqueness of the solution is demonstrated using Banach's fixed-point theorem, while the existence is established through the application of classical fixed-point theorems by Krasnoselskii. We then delve into the Hyers-Ulam stability of the solutions, an aspect that has garnered significant attention from various researchers. By adapting certain sufficient conditions, we achieve stability results for the Hyers-Ulam (HU) type. Finally, we illustrate the theoretical findings with examples to enhance understanding.

引用

页数：25

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