Controllability of nonlinear implicit fractional integrodifferential systems

Krishnan Balachandran; Shanmugam Divya

doi:10.2478/amcs-2014-0052

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Controllability of nonlinear implicit fractional integrodifferential systems

International Journal of Applied Mathematics and Computer Science

Volume 24 (2014): Issue 4 (December 2014)

By: Krishnan Balachandran and Shanmugam Divya

Open Access

|Dec 2014

Abstract

In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples are included to verify the result.

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Articles in this issue

DOI: https://doi.org/10.2478/amcs-2014-0052 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 713 - 722

Submitted on: Nov 5, 2013

Published on: Dec 20, 2014

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

controllability,

fractional derivative,

integrodifferential equations,

fixed point theorem

Related subjects:

Mathematics,

Applied mathematics

© 2014 Krishnan Balachandran, Shanmugam Divya, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 24 (2014): Issue 4 (December 2014)