New Results for a Higher-Order Hadamard-Type Fractional Differential Equation with Integral and Discrete Boundary Conditions on an Unbounded Interval

This study concentrates on a higher-order Hadamard fractional differential equation defined on an unbounded interval, which is subject to integral and discrete boundary conditions. Through the employment of the upper and lower solution method combined with Banach’s contraction mapping principle, we have successfully established distinct iterative sequences for the targeted differential equation. To demonstrate the practical relevance of our theoretical findings, we provide a typical example.

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Publication Details

Journal
Fractal and Fractional
Published
2026-02-25
DOI
https://doi.org/10.3390/fractalfract10030141
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

New Results for a Higher-Order Hadamard-Type Fractional Differential Equation with Integral and Discrete Boundary Conditions on an Unbounded Interval

Yaohong Li, Haiyan Zhang
Fractal and Fractional
Nonlinear Differential Equations Analysis
article

New Results for a Higher-Order Hadamard-Type Fractional Differential Equation with Integral and Discrete Boundary Conditions on an Unbounded Interval

Yaohong Li, Haiyan Zhang
article en

Abstract

This study concentrates on a higher-order Hadamard fractional differential equation defined on an unbounded interval, which is subject to integral and discrete boundary conditions. Through the employment of the upper and lower solution method combined with Banach’s contraction mapping principle, we have successfully established distinct iterative sequences for the targeted differential equation. To demonstrate the practical relevance of our theoretical findings, we provide a typical example.

Fractal and FractionalVol. 10(3)
Suzhou University of Science and Technology (CN)
Anhui Provincial Department of Education, Suzhou University
Decent work and economic growth
Openalex Percentile: Top 39%
Nonlinear Differential Equations Analysis
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