Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem

Jiafa Xu; Donal O’Regan

doi:10.1007/s13398-017-0406-7

Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem

Jiafa Xu, Donal O’Regan

Mathematics

Chongqing Normal University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper we use topological degree to establish the existence of nontrivial solutions for a first-order discrete fractional boundary value problem with a sign-changing nonlinearity. Also using the monotone iterative technique we discuss problems with a nonnegative nonlinearity and establish the uniqueness of positive solutions.

Original language	English
Pages (from-to)	1005-1016
Number of pages	12
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	112
Issue number	4
DOIs	https://doi.org/10.1007/s13398-017-0406-7
Publication status	Published - 1 Oct 2018

Keywords

Discrete fractional boundary value problems
Monotone iterative technique
Nontrivial (positive) solutions
Topological degree

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10.1007/s13398-017-0406-7

Cite this

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title = "Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem",

abstract = "In this paper we use topological degree to establish the existence of nontrivial solutions for a first-order discrete fractional boundary value problem with a sign-changing nonlinearity. Also using the monotone iterative technique we discuss problems with a nonnegative nonlinearity and establish the uniqueness of positive solutions.",

keywords = "Discrete fractional boundary value problems, Monotone iterative technique, Nontrivial (positive) solutions, Topological degree",

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AU - O’Regan, Donal

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KW - Discrete fractional boundary value problems

KW - Monotone iterative technique

KW - Nontrivial (positive) solutions

KW - Topological degree

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Existence and uniqueness of solutions for a first-order discrete fractional boundary value problem

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Keywords

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