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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Bibliographic Details
Main Authors: Limin Guo, Cheng Li, Nan Qiao, Jingbo Zhao
Format: Article
Language:English
Published: Vilnius University Press 2025-01-01
Series:Nonlinear Analysis
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Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/38509
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Summary: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.
ISSN:1392-5113
2335-8963