On Solutions to Fractional Discrete Systems with Sequential h-Differences

We study the subject of a behaviour of the solutions of systems with sequential fractional h-differences. We give formulas for the unique solutions to initial value problems for systems in linear and semilinear cases. Moreover, the sufficient condition that guaranties the positivity of considered sy...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2013; no. 2013; pp. 433 - 443-554
Main Authors Wyrwas, Małgorzata, Mozyrska, Dorota, Girejko, Ewa
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2013
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Boundary value problems
Calculus
Colleges & universities
Derivatives
Mathematical research
Sequences (Mathematics)
Online AccessGet full text
ISSN1085-3375
1687-0409
DOI10.1155/2013/475350

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Summary:We study the subject of a behaviour of the solutions of systems with sequential fractional h-differences. We give formulas for the unique solutions to initial value problems for systems in linear and semilinear cases. Moreover, the sufficient condition that guaranties the positivity of considered systems is presented.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/475350