ON THE ARONSZAJN PROPERTY FOR FRACTIONAL NEUTRAL EVOLUTION EQUATIONS WITH INFINITE DELAY ON HALF-LINE.

We establish an Rδ structure theorem for the fixed point set of the Krasnosel'skii type operator on Frechet 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. [ABSTRACT FROM AUTHOR]