On the Filippov-Ważewski relaxation theorem for a certain class of fractional differential inclusions-Reference-Cited by-同舟云学术

On the Filippov-Ważewski relaxation theorem for a certain class of fractional differential inclusions

Published:2023-12-21 Issue:1 Volume:27 Page:1-21
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:Fract Calc Appl Anal

Author:

Sadowski Jacek^ORCID

Abstract

AbstractThe purpose of this text is to propose an attempt of an extension of the Filippov-Ważewski Relaxation Theorem for a certain class of fractional differential inclusions. The classical result devoted to ordinary differential inclusions is a part of the qualitative theory: a description of the relationship between the solutions to the differential inclusion and the convexified differential inclusion was given. There exist several generalizations of that result and in this note a method is proposed so that the range of some parameters is extended. An example of a possible application may arise in control theory and the question is whether it is possible to have the same reachable set economizing the set of controls.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13540-023-00230-8.pdf

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