Solvability of a Boundary Value Problem Involving Fractional Difference Equations

Zhiwei Lv; Chun Wu; Donal O’Regan; Jiafa Xu

doi:10.3390/axioms12070650

Solvability of a Boundary Value Problem Involving Fractional Difference Equations

Zhiwei Lv, Chun Wu, Donal O’Regan, Jiafa Xu

Mathematics

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

Abstract

In this current work, we apply the topological degree and fixed point theorems to investigate the existence, uniqueness, and multiplicity of solutions for a boundary value problem associated with a fractional-order difference equation. Moreover, we provide some appropriate examples to verify our main conclusions.

Original language	English
Article number	650
Journal	Axioms
Volume	12
Issue number	7
DOIs	https://doi.org/10.3390/axioms12070650
Publication status	Published - Jul 2023

Keywords

boundary value problems
fixed-point theory
fractional difference equations
solvability

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title = "Solvability of a Boundary Value Problem Involving Fractional Difference Equations",

abstract = "In this current work, we apply the topological degree and fixed point theorems to investigate the existence, uniqueness, and multiplicity of solutions for a boundary value problem associated with a fractional-order difference equation. Moreover, we provide some appropriate examples to verify our main conclusions.",

keywords = "boundary value problems, fixed-point theory, fractional difference equations, solvability",

author = "Zhiwei Lv and Chun Wu and Donal O{\textquoteright}Regan and Jiafa Xu",

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AU - Wu, Chun

AU - O’Regan, Donal

AU - Xu, Jiafa

PY - 2023/7

Y1 - 2023/7

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AB - In this current work, we apply the topological degree and fixed point theorems to investigate the existence, uniqueness, and multiplicity of solutions for a boundary value problem associated with a fractional-order difference equation. Moreover, we provide some appropriate examples to verify our main conclusions.

KW - boundary value problems

KW - fixed-point theory

KW - fractional difference equations

KW - solvability

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U2 - 10.3390/axioms12070650

DO - 10.3390/axioms12070650

M3 - Article

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VL - 12

JO - Axioms

JF - Axioms

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M1 - 650

ER -

Solvability of a Boundary Value Problem Involving Fractional Difference Equations

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