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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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-025-03257-y |
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| author | Jehad Alzabut Boddu Muralee Bala Krushna Mahammad Khuddush |
| author_facet | Jehad Alzabut Boddu Muralee Bala Krushna Mahammad Khuddush |
| author_sort | Jehad Alzabut |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-af6e892b7a0440db98cd7be21de164f5 |
| institution | Kabale University |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-af6e892b7a0440db98cd7be21de164f52025-08-20T03:54:11ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-05-012025111910.1186/s13660-025-03257-yEigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problemsJehad Alzabut0Boddu Muralee Bala Krushna1Mahammad Khuddush2Department of Mathematics and Sciences, Prince Sultan UniversityDepartment of Mathematics, MVGR College of EngineeringDepartment of Mathematics, Chegg India Pvt. Ltd.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.https://doi.org/10.1186/s13660-025-03257-yHadamard fractional derivativeBoundary value problemKernelFixed point theoremsPositive solution |
| spellingShingle | Jehad Alzabut Boddu Muralee Bala Krushna Mahammad Khuddush Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems Journal of Inequalities and Applications Hadamard fractional derivative Boundary value problem Kernel Fixed point theorems Positive solution |
| title | Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems |
| title_full | Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems |
| title_fullStr | Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems |
| title_full_unstemmed | Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems |
| title_short | Eigenvalues for iterative systems of higher order three-point Hadamard fractional boundary value problems |
| title_sort | eigenvalues for iterative systems of higher order three point hadamard fractional boundary value problems |
| topic | Hadamard fractional derivative Boundary value problem Kernel Fixed point theorems Positive solution |
| url | https://doi.org/10.1186/s13660-025-03257-y |
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