On the existence, uniqueness and topological structure of solution sets to a certain fractional differential equation

被引：4
|
作者：
Bugajewska, Daria [1 ]
Kasprzak, Piotr [1 ]
机构：
[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 03期
关键词：
Existence and uniqueness of solutions; Fractional differential equation; Initial value problem; R(delta) set; Riemann-Liouville integral; POSITIVE SOLUTIONS;
D O I：
10.1016/j.camwa.2009.06.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main goal of this paper is to prove two Aronszajn type theorems for some initial value problems formulated in terms of fractional derivatives. Moreover, we are going to establish a theorem on the existence and uniqueness of positive solutions. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1108 / 1116
页数：9
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