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

共 39 条

[1] On Delta and Nabla Caputo Fractional Differences and Dual Identities [J].

Abdeljawad, Thabet .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013

[2] Existence results for fractional-order differential equations with nonlocal multi-point-strip conditions involving Caputo derivative [J].

Ahmad, Bashir ;

Alsaedi, Ahmed ;

Alsharif, Alaa .

ADVANCES IN DIFFERENCE EQUATIONS, 2015, :1-11

[3] Fixed Point Results on -Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability [J].

Alqahtani, Badr ;

Fulga, Andreea ;

Karapinar, Erdal .

MATHEMATICS, 2018, 6 (10)

[4] Asymptotic Stability of Nonlinear Discrete Fractional Pantograph Equations with Non-Local Initial Conditions [J].

Alzabut, Jehad ;

Selvam, A. George Maria ;

El-Nabulsi, Rami A. ;

Dhakshinamoorthy, Vignesh ;

Samei, Mohammad E. .

SYMMETRY-BASEL, 2021, 13 (03)

[5]

BITSADZE AV, 1969, DOKL AKAD NAUK SSSR+, V185, P739

[6] Approximate solution for a fractional BVP under ?-Riemann-Liouville operators via iterative method and artificial neural networks [J].

Chinoune, Hanane ;

Tellab, Brahim ;

Bensayah, Abdallah .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (12) :12826-12839

[7]

Diethelm K., 1999, ScientificComputing in Chemical Engineering II-ComputationalFluid Dynamics, Reaction Engineering and MolecularProperties, P217, DOI DOI 10.1007/978-3-642-60185-9_24

[8] Existence of Positive Solutions for a Class of Nabla Fractional Boundary Value Problems [J].

Dimitrov, Nikolay D. ;

Jonnalagadda, Jagan Mohan .

FRACTAL AND FRACTIONAL, 2025, 9 (02)

[9] DAMPING DESCRIPTION INVOLVING FRACTIONAL OPERATORS [J].

GAUL, L ;

KLEIN, P ;

KEMPLE, S .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1991, 5 (02) :81-88

[10]

GLOCKLE WG, 1995, BIOPHYS J, V68, P46, DOI 10.1016/S0006-3495(95)80157-8

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