On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative
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Aurelian Cernea
acernea@fmi.unibuc.ro
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https://doi.org/10.4067/S0719-06462017000300031Abstract
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.
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Published
2017-10-01
How to Cite
[1]
A. Cernea, “On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative”, CUBO, vol. 19, no. 3, pp. 31–42, Oct. 2017.
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