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


	Fixed Point Theory, Volume 21, No. 2, 2020, 767-790, July 1st, 2020 DOI: 10.24193/fpt-ro.2020.2.55 Authors: Nguyen Ngoc Trong, Le Xuan Truong and Nguyen Thanh Tung Abstract: We establish an R_δ 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 R_δ-set. Key Words and Phrases: Topology structure, solution set, fractional differential equation, Krasnosel'skii type operator. 2010 Mathematics Subject Classification: 34A12, 34G20, 34A08, 47H10. Published on-line: July 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents