CONTINUOUS SELECTIONS OF SOLUTION SETS OF FRACTIONAL DIFFERENTIAL INCLUSIONS INVOLVING CAPUTO'S FRACTIONAL DERIVATIVE

被引：0

作者：

Cernea, Aurelian ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math & Informat, Str Acad 14, Bucharest 010014, Romania

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2010年 / 55卷 / 02期

关键词：

differential inclusion; fractional derivative; decomposable set;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Bressan-Colombo results, concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove a continuous version of Filippov's theorem for a fractional differential inclusion involving Caputo's fractional derivative. This result allows to obtain a continuous selection of the solution set of the problem considered.

引用

页码：121 / 129

页数：9

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