<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We consider a Cauchy problem for a fractional differential inclusion defined by a Caputo type fractional derivative and we obtain a sufficient condition for...

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

Published Online: Dec 24, 2022

Page range: 12 - 21

DOI: https://doi.org/10.2478/awutm-2022-0013

Keywords
Differential inclusion, fractional derivative, derived cone, local controllability

© 2022 Aurelian Cernea, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 24, 2022

Page range: 12 - 21

DOI: https://doi.org/10.2478/awutm-2022-0013

KeywordsDifferential inclusion, fractional derivative, derived cone, local controllability

© 2022 Aurelian Cernea, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Differential inclusion, fractional derivative, derived cone, local controllability