Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation
By deriving the expression of Green function and some of its special properties and establishing appropriate substitution and appropriate cone, the existence of unique iterative positive, error estimation, and convergence rate of approximate solution are obtained for singular p-Laplacian Caputo–Had...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-01-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/38509 |
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| _version_ | 1850227605068840960 |
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| author | Limin Guo Cheng Li Nan Qiao Jingbo Zhao |
| author_facet | Limin Guo Cheng Li Nan Qiao Jingbo Zhao |
| author_sort | Limin Guo |
| collection | DOAJ |
| description |
By deriving the expression of Green function and some of its special properties and establishing appropriate substitution and appropriate cone, the existence of unique iterative positive, error estimation, and convergence rate of approximate solution are obtained for singular p-Laplacian Caputo–Hadamard fractional differential equation with infinite-point boundary conditions. Nonlinearities involve derivative terms that make our analysis difficult in the course of this research, and we deal with the difficulty of derivative terms by making appropriate substitutions. An example is given to demonstrate the validity of our main results.
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| format | Article |
| id | doaj-art-27760de933b04cdaa32be71be97d452b |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-27760de933b04cdaa32be71be97d452b2025-08-20T02:04:48ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-01-013010.15388/namc.2025.30.38509Convergence analysis of positive solution for Caputo–Hadamard fractional differential equationLimin Guo0Cheng Li1Nan Qiao2Jingbo Zhao3Changzhou Institute of TechnologyChangzhou Institute of TechnologyChangzhou Institute of TechnologyShanghai Polytechnic University By deriving the expression of Green function and some of its special properties and establishing appropriate substitution and appropriate cone, the existence of unique iterative positive, error estimation, and convergence rate of approximate solution are obtained for singular p-Laplacian Caputo–Hadamard fractional differential equation with infinite-point boundary conditions. Nonlinearities involve derivative terms that make our analysis difficult in the course of this research, and we deal with the difficulty of derivative terms by making appropriate substitutions. An example is given to demonstrate the validity of our main results. https://www.journals.vu.lt/nonlinear-analysis/article/view/38509Caputo–Hadamard fractional differential modeliterative positive solutionsproperties of Green’s functionconvergence analysis |
| spellingShingle | Limin Guo Cheng Li Nan Qiao Jingbo Zhao Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation Nonlinear Analysis Caputo–Hadamard fractional differential model iterative positive solutions properties of Green’s function convergence analysis |
| title | Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation |
| title_full | Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation |
| title_fullStr | Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation |
| title_full_unstemmed | Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation |
| title_short | Convergence analysis of positive solution for Caputo–Hadamard fractional differential equation |
| title_sort | convergence analysis of positive solution for caputo hadamard fractional differential equation |
| topic | Caputo–Hadamard fractional differential model iterative positive solutions properties of Green’s function convergence analysis |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/38509 |
| work_keys_str_mv | AT liminguo convergenceanalysisofpositivesolutionforcaputohadamardfractionaldifferentialequation AT chengli convergenceanalysisofpositivesolutionforcaputohadamardfractionaldifferentialequation AT nanqiao convergenceanalysisofpositivesolutionforcaputohadamardfractionaldifferentialequation AT jingbozhao convergenceanalysisofpositivesolutionforcaputohadamardfractionaldifferentialequation |