Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations

被引：73

作者：

Zhang, Xinguang ^{[1
]}

Han, Yuefeng ^{[2
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

[2] Jilin Univ Finance & Econ, Coll Int Econ & Trade, Changchun 130117, Jilin, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Monotone iterative technique; Fractional differential equation; Existence and uniqueness; Positive solution; BOUNDARY-VALUE-PROBLEMS; SUFFICIENT CONDITION;

D O I：

10.1016/j.aml.2011.09.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In particular, this model comes from economics, financial mathematics and other applied sciences, since the initial value of the iterative sequence can begin from an known function, this is simpler and helpful for computation. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：555 / 560

页数：6

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