General uniqueness and monotone iterative technique for fractional differential equations

被引：221

作者：

Lakshmikantham, V. ^{[2
]}

Vatsala, A. S. ^{[1
]}

机构：

[1] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 08期

关键词：

general uniqueness theorem; monotone iterative technique; fractional differential equations;

D O I：

10.1016/j.aml.2007.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the general existence and uniqueness result is proved which exhibits the idea of comparison principle. This result is also valid for fractional differential equations in a Banach space. The well-known monotone iterative technique is then extended for fractional differential equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：828 / 834

页数：7

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