Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order

被引：29

作者：

Lv, Zhi-Wei ^{[2
,4
]}

Liang, Jin ^{[1
]}

Xiao, Ti-Jun ^{[3
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Anyang Inst Technol, Dept Math & Phys, Anyang 455000, Henan, Peoples R China

[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Sch Math Sci, Shanghai 200433, Peoples R China

[4] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期

关键词：

Fractional differential equation; Monotone iterative technique; Cone; Banach space; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.camwa.2011.04.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the monotone iterative technique combined with cone theory to investigate the existence of solutions to the Cauchy problem for Caputo fractional differential equations in Banach spaces. New existence theorems are obtained for the case of a cone P being normal and fully regular respectively. Moreover, two examples are given to illustrate the abstract results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1303 / 1311

页数：9

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