Initial value problems for arbitrary order fractional differential equations with delay

被引：34
|
作者：
Yang, Zhihui [1 ,2 ]
Cao, Jinde [2 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China
[2] Southeast Univ, Dept Appl Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 11期
关键词：
Caputo's fractional derivative; Fractional equation; Delay; Existence and uniqueness; Fixed point theorem; INFINITE DELAY; SYSTEMS; DERIVATIVES; UNIQUENESS; EXISTENCE;
D O I：
10.1016/j.cnsns.2013.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By fixed point theory the nonlinear alternative of Leray-Schauder type, and the properties of absolutely continuous functions space, we study the existence and uniqueness of initial value problems for nonlinear higher fractional equations with delay, and obtain some new results involving local and global solutions. (C) 2013 Elsevier B. V. All rights reserved.
引用
收藏
页码：2993 / 3005
页数：13
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