1. On asymptotics of discrete Mittag-Leffler function
- Creator:
- Nechvátal, Luděk
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- discrete Mittag-Leffler function, fractional difference equation, asymptotics, and backward h-Laplace transform
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public