We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval.
@article{1627,
title = {On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative},
journal = {CUBO, A Mathematical Journal},
volume = {19},
year = {2017},
language = {en},
url = {http://dml.mathdoc.fr/item/1627}
}
Cernea, Aurelian. On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative. CUBO, A Mathematical Journal, Tome 19 (2017) . http://gdmltest.u-ga.fr/item/1627/