<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

Data publikacji: 23 wrz 2017

Zakres stron: 501 - 513

Otrzymano: 26 sie 2016

Przyjęty: 27 kwi 2017

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

Słowa kluczowe
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

Data publikacji: 23 wrz 2017

Zakres stron: 501 - 513

Otrzymano: 26 sie 2016

Przyjęty: 27 kwi 2017

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

Słowa kluczowecontrollability, 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.

Słowa kluczowe
controllability, fractional delay differential equation, Mittag-Leffler function, fixed point theorem