J. Nonl. Evol. Equ. Appl. 2020 (9), pp. 163–176, published on December 13, 2020:

On the solutions of a fractional differential inclusion of Caputo-Fabrizio type

A. Cernea

Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
Academy of Romanian Scientists, Splaiul Independent ̧ei 54, 050094 Bucharest, Romania

Received on December 16, 2019, revised version on February 12, 2020
Accepted on February 1, 2020 (with minor changes)

Communicated by Martin Bohner

Abstract.  We study a Cauchy problem associated to a fractional differential inclusion defined by Caputo-Fabrizio fractional derivative. We establish an existence result, we obtain a continuous selection of the solution set and we prove the arcwise connectedness of the solution set of theproblem considered.
Keywords:fractional derivative, differential inclusion, measurable selection.
2010 Mathematics Subject Classification:   26A33, 34A08, 34A60.

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