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

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.