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

Suqian University
Chongqing Normal University

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

2 Citations (Scopus)

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

Access to Document

10.3390/axioms12070650

Cite this

@article{bdfd29dc183c43c79b673781ac7e1a71,

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",

note = "Publisher Copyright: {\textcopyright} 2023 by the authors.",

year = "2023",

month = jul,

doi = "10.3390/axioms12070650",

language = "English",

volume = "12",

journal = "Axioms",

issn = "2075-1680",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "7",

}

TY - JOUR

T1 - Solvability of a Boundary Value Problem Involving Fractional Difference Equations

AU - Lv, Zhiwei

AU - Wu, Chun

AU - O’Regan, Donal

AU - Xu, Jiafa

PY - 2023/7

Y1 - 2023/7

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85175113458

U2 - 10.3390/axioms12070650

DO - 10.3390/axioms12070650

M3 - Article

AN - SCOPUS:85175113458

SN - 2075-1680

VL - 12

JO - Axioms

JF - Axioms

IS - 7

M1 - 650

ER -

Solvability of a Boundary Value Problem Involving Fractional Difference Equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this