ON THE TOPOLOGICAL STRUCTURE OF THE SOLUTION SET FOR A SYSTEM OF FRACTIONAL SEMILINEAR DIFFERENTIAL INCLUSIONS IN BANACH SPACES

Obukhovskii, Valeri; Petrosyan, Garik; Ul'Vacheva, Tatiyana; Yao, Jen-Chih

ON THE TOPOLOGICAL STRUCTURE OF THE SOLUTION SET FOR A SYSTEM OF FRACTIONAL SEMILINEAR DIFFERENTIAL INCLUSIONS IN BANACH SPACES

Obukhovskii V., Petrosyan G., Ul'Vacheva T., Yao J.

Journal of Nonlinear and Convex Analysis, vol.26, no.1, pp.39-52, 2025 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 26 Issue: 1
Publication Date: 2025
Journal Name: Journal of Nonlinear and Convex Analysis
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
Page Numbers: pp.39-52
Keywords: fractional order, Hille-Yosida condition, measure of noncompactness, mild solution, Rδ-set, semilinear differential inclusion, structure of the solution set, System of differential inclusions
Open Archive Collection: Article
Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In the present paper we prove that the set of all mild solutions to a system of fractional semilinear differential inclusions with Hille-Yosida operators in Banach spaces is an Rδ-set, i.e., it can be represented as the intersection of a decreasing sequence of compact contractible sets.