A sufficient condition for local controllability of a Caputo type fractional differential inclusion

We consider a Cauchy problem for a fractional differential inclusion defined by a Caputo type fractional derivative and we obtain a sufficient condition for local controllability along a reference trajectory in terms of a certain fractional variational differential inclusion associated to the initia...

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Bibliographic Details
Published in:Annals of the West University of Timisoara: Mathematics and Computer Science
Main Author: Cernea Aurelian
Format: Article
Language:English
Published: Sciendo 2022-12-01
Subjects:
differential inclusion
fractional derivative
derived cone
local controllability
Online Access:https://doi.org/10.2478/awutm-2022-0013
Description
Summary:We consider a Cauchy problem for a fractional differential inclusion defined by a Caputo type fractional derivative and we obtain a sufficient condition for local controllability along a reference trajectory in terms of a certain fractional variational differential inclusion associated to the initial problem.
ISSN:1841-3307

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