Publication detail

Note on fractional difference Gronwall inequalities

FEČKAN, M. POSPÍŠIL, M.

Original Title

Note on fractional difference Gronwall inequalities

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

fractional difference; backward difference; difference inequality

Authors

FEČKAN, M.; POSPÍŠIL, M.

RIV year

2014

Released

15. 9. 2014

ISBN

1417-3875

Periodical

Electronic Journal of Qualitative Theory of Differential Equations

Year of study

2014

Number

44

State

Hungary

Pages from

1

Pages to

18

Pages count

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"
}