On the numerical computation of the Mittag-Leffler function

被引：20

作者：

Valerio, Duarte ^{[1
]}

Machado, Jose Tenreiro ^{[2
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, IDMEC, P-1699 Lisbon, Portugal

[2] Inst Politecn Porto, Inst Super Engn Porto, Oporto, Portugal

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 10期

关键词：

Mittag-Leffler function; Fractional Calculus; Fractional control;

D O I：

10.1016/j.cnsns.2014.03.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler function were found. This paper follows those expressions to design an efficient algorithm for the approximate calculation of expressions usual in fractional-order control systems. The numerical experiments demonstrate the superior efficiency of the proposed method. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：3419 / 3424

页数：6

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