Solvability of Caputo fractional integral boundary value problem at resonance in Rn

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 proje...

Full description

Saved in:
Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; p. 20
Main Authors Wang, Shaoqiang, Zhang, Li, Wang, Yifan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Boundary value problems
Fractional calculus
Hypotheses
Linear algebra
Mathematics
Mathematics and Statistics
Projectors
Resonance
Theorems
Continuation theorem
Moore–Penrose pseudoinverse matrix
Caputo fractional derivative
At resonance
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1025-5834
1029-242X
DOI:10.1186/s13660-025-03270-1