Solvability of Caputo fractional integral boundary value problem at resonance in ${\mathbb{R}^{n}}$

In this paper, we utilize the continuation theorem due to Mawhin to investigate the solvability for a class of Caputo fractional system integral boundary value problems at resonance. To broaden the applicability of the main results, we employ the Moore–Penrose pseudoinverse matrix to construct projectors.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-02-24
DOI
https://doi.org/10.1186/s13660-025-03270-1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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0.00
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article

Solvability of Caputo fractional integral boundary value problem at resonance in ${\mathbb{R}^{n}}$

Shaoqiang Wang, Yifan Wang, Li Zhang
Journal of Inequalities and Applications
Nonlinear Differential Equations Analysis
article

Solvability of Caputo fractional integral boundary value problem at resonance in ${\mathbb{R}^{n}}$

Shaoqiang Wang, Yifan Wang, Li Zhang
article en

Abstract

In this paper, we utilize the continuation theorem due to Mawhin to investigate the solvability for a class of Caputo fractional system integral boundary value problems at resonance. To broaden the applicability of the main results, we employ the Moore–Penrose pseudoinverse matrix to construct projectors.

Journal of Inequalities and ApplicationsVol. 2025(1)
Qingdao University (CN), Guangzhou University of Chinese Medicine (CN), Qingdao University of Science and Technology (CN), Qingdao University of Technology (CN), Shandong University of Science and Technology (CN)
Openalex Percentile: Top 95%
Nonlinear Differential Equations Analysis
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