On the Aronszajn property for fractional neutral evolution equations with infinite delay on half-line
On the Aronszajn property for fractional neutral evolution equations with infinite delay on half-line
Source title:
Fixed Point Theory, 21(2): 767-790,
2020
(ISI)
Academic year of acceptance:
2020-2021
Abstract:
We establish an Rδ structure theorem for the fixed point set of the Krasnosel'skii type operator on Fréchet space. Applying this result, a topological structure for the set of all mild solutions of fractional neutral evolution equations with infinite delay on half-line is investigated. We show that the solution set is an Rδ-set.