Maximum principles for fractional differential equations derived from Mittag-Leffler functions

被引：123

作者：

Nieto, Juan J. ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 10期

关键词：

Fractional differential equation; Mittag-Leffler functions; Initial value problem; Periodic boundary value problem; Maximum principle;

D O I：

10.1016/j.aml.2010.06.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present two new maximum principles for a linear fractional differential equation with initial or periodic boundary conditions. Some properties of the classical Mittag-Leffler functions are crucial in our arguments. These comparison results allow us to study the corresponding nonlinear fractional differential equations and to obtain approximate solutions. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1248 / 1251

页数：4

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