Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative
type: Item
instance of: scholarly article
title: Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative
author: Iwan Gawriljuk
author: Vladimir L. Makarov
published in: Ukrainian Mathematical Journal
publication date: 2022-12-05T00:00:00Z
review text: This paper focuses primarily on approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative. The discretization of the operator Mittag-Leffler function is presented, which is of interest itself and, in addition, represents the solution operator of a PDE similar to the heat-conduction equation with the fractional time derivative and with an abstract operator coefficient \(A\) in the ``spatial part'' of the equation. A representation of the Mittag-Leffler function in the form of a series with products of the Laguerre-Cayley functions of \(t\) and powers of the Cayley transform of \(A\) is considered.
reviewed by: Ismail Huseynov
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 33E12
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 7626256
zbMATH Keywords: approximations of the mittag-leffler operator function
zbMATH Keywords: evolutionary equations
zbMATH Keywords: fractional time derivative
Wikidata QID: Q115602716
MaRDI profile type: Publication
full work available at URL: s11253-022-02096-0
OpenAlex ID: W4309683022
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DOI: 10.1007/S11253-022-02096-0
description: scientific article; zbMATH DE number 7626256