Stability analysis of conformable fractional-order nonlinear systems depending on a parameter-Reference-Cited by-同舟云学术

Stability analysis of conformable fractional-order nonlinear systems depending on a parameter

Published:2020-10-29 Issue:2 Volume:26 Page:287-296
ISSN:1869-6082
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Naifar O.¹,Rebiai G.²,Ben Makhlouf A.³,Hammami M. A.⁴,Guezane-Lakoud A.⁵

Affiliation:

1. CEM Lab , Department of Electrical Engineering , National School of Engineering , University of Sfax , Sfax , Tunisia

2. University of Guelma , Guelma , Algeria

3. Department of Mathematics , College of Science , Jouf University , Aljouf , Saudi Arabia ; and Department of Mathematics, Faculty of Sciences of Sfax, Route Soukra, BP 1171, 3000 Sfax, Tunisia

4. Department of Mathematics , Faculty of Sciences of Sfax , University of Sfax , Route Soukra, BP 1171, 3000 Sfax , Tunisia

5. University of Badji Mokhtar , Annaba , Algeria

Abstract

Abstract In this paper, the stability of conformable fractional-order nonlinear systems depending on a parameter is presented and described. Furthermore, The design of a feedback controller for the same class of conformable fractional-order systems is introduced. Illustrative examples are given at the end of the paper to show the effectiveness of the proposed results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2020-2025/pdf

Reference23 articles.

1. T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015), 57–66.

2. B. Ben Hamed, Z. Haj Salem and M. A. Hammami, Stability of nonlinear time-varying perturbed differential equations, Nonlinear Dynam. 73 (2013), no. 3, 1353–1365.

3. A. Ben Makhlouf, M. A. Hammami and K. Sioud, Stability of fractional-order nonlinear systems depending on a parameter, Bull. Korean Math. Soc. 54 (2017), no. 4, 1309–1321.

4. N. Engheta, On fractional calculus and fractional multipoles in electromagnetism, IEEE Trans. Antennas and Propagation 44 (1996), no. 4, 554–566.

5. M. Eslami, Solitary wave solutions for perturbed nonlinear Schrodingers equation with Kerr law nonlinearity under the DAM, Optik 126 (2015), 1312–1317.

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