Work

Topology structure of solution set of fractional non-autonomous evolution inclusions

Year: 2024

Type: article

Abstract: This paper investigates the topological characteristics of the set of solutions to non-autonomous fractional evolution inclusions. We present the concept of mild solutions for nonautonomous fractional evolution inclusions and prove that the solution set is nonempty and compact. Moreover, when the space is a reflexive Banach space, we demonstrate that the solution set is an R_{\delta} -set, indicating that it may not be a single entity.

Source: Zeitschrift für Analysis und ihre Anwendungen

DOI: 10.4171/zaa/1781

Authors: Yong Zhen Yang, Yong Zhou

Institutions: Xiangtan University, Macau University of Science and Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G8423969188