ON ASYMPTOTICS OF DISCRETE MITTAG-LEFFLER FUNCTION

被引：0
|
作者：
Nechvatal, Ludek [1 ]
机构：
[1] Brno Univ Technol, Fac Mech Engn, Tech 2, Brno 61669, Czech Republic
来源：
MATHEMATICA BOHEMICA | 2014年 / 139卷 / 04期
关键词：
discrete Mittag-Leffler function; fractional difference equation; asymptotics; backward h-Laplace transform;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：667 / 675
页数：9
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