<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo fixed point theorem. Further, examples are given to illustrate the theory.</p></abstract>

This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo fixed point theorem. Further, examples are given to illustrate the theory.

The controllability of nonlinear implicit fractional delay dynamical systems

International Journal of Applied Mathematics and Computer Science

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

{"article-title":"The controllability of nonlinear implicit fractional delay dynamical systems"}

This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and...

The controllability of nonlinear implicit fractional delay dynamical systems

Publié en ligne: 23 sept. 2017

Pages: 501 - 513

Reçu: 26 août 2016

Accepté: 27 avr. 2017

DOI: https://doi.org/10.1515/amcs-2017-0035

Mots clés
controllability, fractional delay differential equation, Mittag-Leffler function, fixed point theorem

© 2017 Rajagopal Joice Nirmala et al., published by De Gruyter Open

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

The controllability of nonlinear implicit fractional delay dynamical systems

Publié en ligne: 23 sept. 2017

Pages: 501 - 513

Reçu: 26 août 2016

Accepté: 27 avr. 2017

DOI: https://doi.org/10.1515/amcs-2017-0035

Mots cléscontrollability, fractional delay differential equation, Mittag-Leffler function, fixed point theorem

© 2017 Rajagopal Joice Nirmala et al., published by De Gruyter Open

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

Mots clés
controllability, fractional delay differential equation, Mittag-Leffler function, fixed point theorem