Acta mathematica scientia, Series B >
CONTINUOUS SELECTIONS OF SOLUTION SETS OF FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS
Received date: 2013-06-20
Revised date: 2014-09-08
Online published: 2015-03-20
Supported by
The author is supported by CNCS grant PN-II-ID-PCE-2011-3-0198.
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
Aurelian CERNEA . CONTINUOUS SELECTIONS OF SOLUTION SETS OF FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(2) : 399 -406 . DOI: 10.1016/S0252-9602(15)60011-X
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