Solvability of a Boundary Value Problem Involving Fractional Difference Equations-Reference-Cited by-同舟云学术

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Solvability of a Boundary Value Problem Involving Fractional Difference Equations

Published:2023-06-29 Issue:7 Volume:12 Page:650
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Lv Zhiwei¹,Wu Chun²,O’Regan Donal³,Xu Jiafa²^ORCID

Affiliation:

1. School of Sciences and Arts, Suqian University, Suqian 223800, China

2. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

3. School of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, Ireland

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.

Funder

Suqian Sci and Tech Program

Natural Science Foundation of Chongqing

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/650/pdf

Reference31 articles.

1. A new approach for modeling with discrete fractional equations;Belcher;Fund. Inform.,2017

2. Modeling with fractional difference equations;Senguel;J. Math. Anal. Appl.,2010

3. Discrete fractional logistic map and its chaos;Wu;Nonlinear Dyn.,2014

4. On the developments and applications of fractional differential equations;Zheng;J. Xuzhou Normal Univ.,2008

5. Goodrich, C.S., and Peterson, A.C. (2015). Discrete Fractional Calculus, Springer.

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