Topological Structure of the Solution Set of a Cauchy Problem for Fractional Differential Inclusions with an Upper Semicontinuous Right-Hand Side

We study the topological structure of the solution set of the Cauchy problem for semilinear differential inclusions of fractional order in Banach spaces. It is assumed that the linear part of the inclusions is a linear closed operator generating a strongly continuous and uniformly bounded family of...

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Bibliographic Details
Published in:	Doklady. Mathematics Vol. 111; no. 2; pp. 121 - 125
Main Author:	Petrosyan, G. G.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.04.2025 Springer Nature B.V
Subjects:	Banach spaces Boundary value problems Cauchy problems Inclusions Mathematics Mathematics and Statistics Neighborhoods Operators (mathematics) Ordinary differential equations Topology topological structure set differential inclusion fractional derivative condensing multioperator family of cosine operator functions multivalued map
ISSN:	1064-5624, 1531-8362
Online Access:	Get full text
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