About: Note on fractional difference Gronwall inequalities

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This note is a reaction on a bunch of fractional inequalities that appeared in the last few years, and that are all based on what claims to be a fractional discrete Gronwall inequality. However, we show by a counterexample that this inequality is not correct. Stimulated by this, the main aim of this note is to propose new inequalities and illustrate the results on examples. Asymptotic properties of a solution of a linear equation are studied as well. Moreover, a brief discussion of other related results is given. This note is a reaction on a bunch of fractional inequalities that appeared in the last few years, and that are all based on what claims to be a fractional discrete Gronwall inequality. However, we show by a counterexample that this inequality is not correct. Stimulated by this, the main aim of this note is to propose new inequalities and illustrate the results on examples. Asymptotic properties of a solution of a linear equation are studied as well. Moreover, a brief discussion of other related results is given. (en)
Title	Note on fractional difference Gronwall inequalities Note on fractional difference Gronwall inequalities (en)
skos:prefLabel	Note on fractional difference Gronwall inequalities Note on fractional difference Gronwall inequalities (en)
skos:notation	RIV/00216305:26220/14:PU111784!RIV15-MSM-26220___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(EE2.3.30.0005)
http://linked.open...iv/cisloPeriodika	44
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Pospíšil, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta elektrotechniky a komunikačních technologií
http://linked.open...dnocenehoVysledku	32894
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/14:PU111784
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	fractional difference, backward difference, difference inequality (en)
http://linked.open.../riv/klicoveSlovo	backward difference difference inequality fractional difference
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[ABDAFCA1E56D]
http://linked.open...i/riv/nazevZdroje	Electronic Journal of Qualitative Theory of Differential Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Support of Interdisciplinary Excellence Research Teams Establishment at BUT
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	2014
http://linked.open...iv/tvurceVysledku	Pospíšil, Michal Fečkan, Michal
issn	1417-3875
number of pages	18 (xsd:int)
http://localhost/t...ganizacniJednotka	26220

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