Note on fractional difference Gronwall inequalities

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F14%3APU111784" target="_blank" >RIV/00216305:26220/14:PU111784 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Note on fractional difference Gronwall inequalities

Original language 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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/EE2.3.30.0005" target="_blank" >EE2.3.30.0005: Support of Interdisciplinary Excellence Research Teams Establishment at BUT</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Electronic Journal of Qualitative Theory of Differential Equations

ISSN

1417-3875

e-ISSN

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Volume of the periodical

2014

Issue of the periodical within the volume

44

Country of publishing house

HU - HUNGARY

Number of pages

18

Pages from-to

1-18

UT code for WoS article

000347533700001

EID of the result in the Scopus database

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