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The controllability of nonlinear implicit fractional delay dynamical systems

International Journal of Applied Mathematics and Computer Science

Volume 27 (2017): Issue 3 (September 2017)

By: Rajagopal Joice Nirmala and Krishnan Balachandran

Open Access

|Sep 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/amcs-2017-0035 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 501 - 513

Submitted on: Aug 26, 2016

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Accepted on: Apr 27, 2017

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Published on: Sep 23, 2017

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

controllability,

fractional delay differential equation,

Mittag-Leffler function,

fixed point theorem

Related subjects:

Applied mathematics

© 2017 Rajagopal Joice Nirmala, Krishnan Balachandran, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 27 (2017): Issue 3 (September 2017)

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