Detail publikačního výsledku

Note on fractional difference Gronwall inequalities

FEČKAN, M.; POSPÍŠIL, M.

Originální název

Note on fractional difference Gronwall inequalities

Anglický název

Note on fractional difference Gronwall inequalities

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

fractional difference; backward difference; difference inequality

Klíčová slova v angličtině

fractional difference; backward difference; difference inequality

Autoři

FEČKAN, M.; POSPÍŠIL, M.

Rok RIV

2017

Vydáno

15.09.2014

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Svazek

2014

Číslo

44

Stát

Maďarsko

Strany od

1

Strany do

18

Strany počet

18

BibTex

@article{BUT111305,
  author="Michal {Fečkan} and Michal {Pospíšil}",
  title="Note on fractional difference Gronwall inequalities",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2014",
  volume="2014",
  number="44",
  pages="1--18",
  issn="1417-3875"
}