On asymptotics of discrete Mittag-Leffler function.

Autor: Nechvátal, Luděk, 1975-
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
ISSN: 0862-7959
Abstrakt: 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.
Databáze: Katalog Knihovny AV ČR