On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative

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DOI:

https://doi.org/10.4067/S0719-06462017000300031

Abstract

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.

Keywords

Differential inclusion , fractional derivative , initial value problem
  • Aurelian 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.
  • Pages: 31–42
  • Date Published: 2017-10-01
  • Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal

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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.

Issue

Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal

Section

Articles