Publication detail

On asymptotics of discrete Mittag-Leffler function

NECHVÁTAL, L.

Original Title

On asymptotics of discrete Mittag-Leffler function

Type

journal article in Scopus

Language

English

Original Abstract

The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional $h$-difference operators) and describe its asymptotics. Here, we shall employ our recent results on stability and asymptotics of solutions to the mentioned equation.

Keywords

discrete Mittag-Leffler function, fractional difference equation, asymptotics, backward h-Laplace transform

Authors

NECHVÁTAL, L.

RIV year

2014

Released

31. 12. 2014

Publisher

MÚ AV ČR

Location

Praha

ISBN

0862-7959

Periodical

Mathematica Bohemica

Year of study

139

Number

4

State

Czech Republic

Pages from

667

Pages to

675

Pages count

9

BibTex

@article{BUT113253,
  author="Luděk {Nechvátal}",
  title="On asymptotics of discrete Mittag-Leffler function",
  journal="Mathematica Bohemica",
  year="2014",
  volume="139",
  number="4",
  pages="667--675",
  issn="0862-7959"
}