Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems

Abstract The objective of this paper is to determine the eigenvalue intervals for which an iterative system of Hadamard fractional boundary value problem has at least one positive solution. Our approach is based on the properties of fractional calculus and the standard fixed point theorem of cone ty...

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Bibliographic Details
Published in:Journal of Inequalities and Applications
Main Authors: Jehad Alzabut, Boddu Muralee Bala Krushna, Mahammad Khuddush
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Subjects:
Hadamard fractional derivative
Boundary value problem
Kernel
Fixed point theorems
Positive solution
Online Access:https://doi.org/10.1186/s13660-025-03257-y
Description
Summary:Abstract The objective of this paper is to determine the eigenvalue intervals for which an iterative system of Hadamard fractional boundary value problem has at least one positive solution. Our approach is based on the properties of fractional calculus and the standard fixed point theorem of cone type. The obtained results in the paper are examined by an example for their feasibility. To the best of our knowledge, no attempt has been made to obtain such results for iterative systems of Hadamard–type fractional boundary value problems in the literature.
ISSN:1029-242X

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