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Mathematical Problems in Engineering
Volume 2018, Article ID 2572986, 5 pages
Research Article

FTS and FTB of Conformable Fractional Order Linear Systems

1Department of Mathematics, College of Science, Jouf University, Aljouf, Saudi Arabia
2University of Sfax, Faculty of Sciences, Department of Mathematics, BP 1171, 3000 Sfax, Tunisia
3National School of Engineering, Department of Electrical Engineering, CEM lab, BP W, 3038 Sfax, Tunisia
4College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China

Correspondence should be addressed to Abdellatif Ben Makhlouf; moc.liamg@fitalledbafuolhkamneb

Received 17 February 2018; Accepted 13 June 2018; Published 5 July 2018

Academic Editor: Filippo Cacace

Copyright © 2018 Abdellatif Ben Makhlouf et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, an extension of some existing results related to finite-time stability (FTS) and finite-time boundedness (FTB) into the conformable fractional derivative is presented. Illustrative example is presented at the end of the paper to show the effectiveness of the proposed result.