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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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 |