A \(k\)-dimensional system of fractional finite difference equations
type: Item
instance of: scholarly article
title: A \(k\)-dimensional system of fractional finite difference equations
zbMATH Open document ID: 1473.39006
DOI: 10.1155/2014/312578
author: D. Baleanu
author: Sh. Rezapour
author: Saeid Salehi
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the existence of solutions for a \(k\)-dimensional system of fractional finite difference equations by using the Kranoselskii's fixed point theorem. We present an example in order to illustrate our results.
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7022142
zbMATH Keywords: fractional finite difference
zbMATH Keywords: Kranoselskii's fixed point theorem
Wikidata QID: Q59038098
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/312578
OpenAlex ID: W1987470868
cites work: Q3006513
cites work: Applications of fractional calculus in physics
cites work: Q5699297
cites work: Q5190149
cites work: Q3468036
cites work: Q4233638
cites work: Q3141895
cites work: Modeling with fractional difference equations
cites work: Discrete fractional logistic map and its chaos
cites work: Initial value problems in discrete fractional calculus
cites work: Discrete chaos in fractional sine and standard maps
cites work: Discrete fractional calculus with the nabla operator
cites work: Q4920777
cites work: Some new existence results for fractional difference equations
cites work: On a fractional boundary value problem with fractional boundary conditions
cites work: Sum and Difference Compositions in Discrete Fractional Calculus
cites work: Positive solutions to boundary value problems of fractional difference equation with nonlocal conditions
cites work: The existence of solutions to a system of discrete fractional boundary value problems
cites work: Q4871718
cites work: Fractional order difference equations
cites work: Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings''
cites work: Fixed point theory and applications
cites work: Existence and multiplicity of positive solutions for elliptic systems
cites work: Positive solutions for systems of nonlinear discrete boundary value problems
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description: scientific article; zbMATH DE number 7022142