数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (2): 399-406.doi: 10.1016/S0252-9602(15)60011-X

• 论文 • 上一篇    下一篇

CONTINUOUS SELECTIONS OF SOLUTION SETS OF FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS

Aurelian CERNEA   

  1. Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
  • 收稿日期:2013-06-20 修回日期:2014-09-08 出版日期:2015-03-20 发布日期:2015-03-20
  • 基金资助:

    The author is supported by CNCS grant PN-II-ID-PCE-2011-3-0198.

CONTINUOUS SELECTIONS OF SOLUTION SETS OF FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS

Aurelian CERNEA   

  1. Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
  • Received:2013-06-20 Revised:2014-09-08 Online:2015-03-20 Published:2015-03-20
  • Supported by:

    The author is supported by CNCS grant PN-II-ID-PCE-2011-3-0198.

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 integro-differential inclusion involving Caputo's fractional derivative. This result allows us to obtain a continuous selection of the solution set of the problem considered.

关键词: Differential inclusion, fractional derivative, decomposable set

Abstract:

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 integro-differential inclusion involving Caputo's fractional derivative. This result allows us to obtain a continuous selection of the solution set of the problem considered.

Key words: Differential inclusion, fractional derivative, decomposable set

中图分类号: 

  • 34A60