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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Main Authors: Małgorzata Wyrwas, Dorota Mozyrska, Ewa Girejko
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/475350
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author Małgorzata Wyrwas
Dorota Mozyrska
Ewa Girejko
author_facet Małgorzata Wyrwas
Dorota Mozyrska
Ewa Girejko
author_sort Małgorzata Wyrwas
collection DOAJ
description 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.
format Article
id doaj-art-f831f3ab77be4348b9d9a024408b7fa3
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-f831f3ab77be4348b9d9a024408b7fa32025-02-03T01:00:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/475350475350On Solutions to Fractional Discrete Systems with Sequential h-DifferencesMałgorzata Wyrwas0Dorota Mozyrska1Ewa Girejko2Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Białystok, PolandFaculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Białystok, PolandFaculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Białystok, PolandWe 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.http://dx.doi.org/10.1155/2013/475350
spellingShingle Małgorzata Wyrwas
Dorota Mozyrska
Ewa Girejko
On Solutions to Fractional Discrete Systems with Sequential h-Differences
Abstract and Applied Analysis
title On Solutions to Fractional Discrete Systems with Sequential h-Differences
title_full On Solutions to Fractional Discrete Systems with Sequential h-Differences
title_fullStr On Solutions to Fractional Discrete Systems with Sequential h-Differences
title_full_unstemmed On Solutions to Fractional Discrete Systems with Sequential h-Differences
title_short On Solutions to Fractional Discrete Systems with Sequential h-Differences
title_sort on solutions to fractional discrete systems with sequential h differences
url http://dx.doi.org/10.1155/2013/475350
work_keys_str_mv AT małgorzatawyrwas onsolutionstofractionaldiscretesystemswithsequentialhdifferences
AT dorotamozyrska onsolutionstofractionaldiscretesystemswithsequentialhdifferences
AT ewagirejko onsolutionstofractionaldiscretesystemswithsequentialhdifferences