Positive solutions of a system of non-autonomous fractional differential equations

被引：77
|
作者：
Daftardar-Gejji, V [1 ]
机构：
[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 302卷 / 01期
关键词：
Riemann-Liouville fractional derivative; completely continuous operator; Arzela-Ascoli theorem; ordered banach space;
D O I：
10.1016/j.jmaa.2004.08.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Existence of positive solutions for the following system of fractional differential equations: D(alphai)u(i) =f(i)(t,u(1),u(2), ...u(2), ...u(n)), ui(0) =0, 0 < alpha(i) < 1, 1 less than or equal to i less than or equal to n, where D-alphai denotes Riemann-Liouville derivative of order alpha(i) has been studied. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：56 / 64
页数：9
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