Publication detail

On asymptotics of discrete Mittag-Leffler function

NECHVÁTAL, L.

English title

On asymptotics of discrete Mittag-Leffler function

Type

Scopus Article

Language

en

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 in English

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

Released

2014-12-31

Publisher

MÚ AV ČR

Location

Praha

ISSN

0862-7959

Journal

Mathematica Bohemica

Volume

139

Number

4

Pages from–to

667–675

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"
}