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

被引：3

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

页码：1108 / 1116

页数：9

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