Topological properties of the solution set for Caputo fractional evolution inclusions involving delay

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-03-04 DOI:10.1007/s13540-024-00362-5

Huihui Yang, He Yang

引用次数: 0

Abstract

This article studies topological properties of the solution set for a class of Caputo fractional delayed evolution inclusions. Firstly, in the scenario when the cosine family is noncompact, the compactness and \(R_{\delta }\)-property are obtained for the mild solution set. Then, as an application of the above obtained results, the approximative controllability is demonstrated. Finally, an example is given as an illustration.

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涉及延迟的Caputo分数演化内含物解集的拓扑性质

本文研究了一类卡普托分数延迟演化夹杂的解集的拓扑性质。首先，在余弦族非紧凑的情况下，得到了温和解集的紧凑性和（R_{\delta }\）属性。然后，作为上述结果的应用，证明了近似可控性。最后，举例说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.