On Mittag-Leffler-type functions in fractional evolution processes
On Mittag-Leffler-type functions in fractional evolution processes
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DOI：
10.1016/s0377-0427(00)00294-6
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发表时间：
2000-06-01
影响因子：
2.4
通讯作者：
Gorenflo, R
中科院分区：
文献类型：
--
作者：
Mainardi, F;Gorenflo, R
我们回顾了各种分数次演化过程(这样定义的是由分数阶方程控制的)，它们的解被证明与Mittag-Leffer型函数有关。所选择的方程是分数阶微积分中最简单的，包括与典型反问题有关的第二类Abel积分方程组，以及控制广义松弛和振荡现象的分数阶微分方程组。(C)2000 Elsevier Science B.V.保留所有权利。MSC：26A33；33E20；45J05。
We review a variety of fractional evolution processes (so defined being governed by equations of fractional order), whose solutions turn out to be related to Mittag-Leffer-type functions. The chosen equations are the simplest of the fractional calculus and include the Abel integral equations of the second kind, which are relevant in typical inverse problems, and the fractional differential equations, which govern generalized relaxation and oscillation phenomena. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 26A33; 33E20; 45J05.