General uniqueness and monotone iterative technique for fractional differential equations

被引：223
|
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.
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页码：828 / 834
页数：7
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