A sufficient condition of viability for fractional differential equations with the Caputo derivative

被引：22
|
作者：
Girejko, Ewa [1 ]
Mozyrska, Dorota [1 ]
Wyrwas, Malgorzata [1 ]
机构：
[1] Bialystok Tech Univ, Dept Math, Fac Comp Sci, PL-15351 Bialystok, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 01期
关键词：
Viability; Fractional derivative; Fractional differential equation; INITIAL-VALUE PROBLEMS; EXISTENCE; THEOREMS;
D O I：
10.1016/j.jmaa.2011.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give the sufficient condition that guarantees fractional viability of a locally closed set with respect to nonlinear function. As an example we discuss positivity of solutions, particularly in linear case. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：146 / 154
页数：9
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