Uniqueness of iterative positive solutions for the singular infinite-point p-Laplacian fractional differential system via sequential technique
Articles
Limin Guo
Changzhou Institute of Technology
https://orcid.org/0000-0002-4779-4181
Lishan Liu
Qufu Normal University
https://orcid.org/0000-0001-8541-1017
Yanqing Feng
Changzhou Institute of Technology
Published 2020-09-01
https://doi.org/10.15388/namc.2020.25.19277
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Keywords

fractional differential system
iterative positive solution
sequential techniques
mixed monotone operator
singular problem

How to Cite

Guo L., Liu L. and Feng Y. (2020) “Uniqueness of iterative positive solutions for the singular infinite-point p-Laplacian fractional differential system via sequential technique”, Nonlinear Analysis: Modelling and Control, 25(5), pp. 786–805. doi: 10.15388/namc.2020.25.19277.

Abstract

By sequential techniques and mixed monotone operator, the uniqueness of positive solution for singular p-Laplacian fractional differential system with infinite-point boundary conditions is obtained. Green's function is derived, and some useful properties of Green' function are obtained. Based on these new properties, the existence of unique positive solutions is established, moreover, an iterative sequence and a convergence rate are given, which are important for practical application, and an example is given to demonstrate the validity of our main results.

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