ON STABILITY CRITERIA OF FRACTAL DIFFERENTIAL SYSTEMS OF CONFORMABLE TYPE-Reference-Cited by-同舟云学术

ON STABILITY CRITERIA OF FRACTAL DIFFERENTIAL SYSTEMS OF CONFORMABLE TYPE

Published:2020-07-06 Issue:08 Volume:28 Page:2040009
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

YOUNUS AWAIS¹,ABDELJAWAD THABET²³⁴,GUL TAZEEN¹

Affiliation:

1. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

2. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

Abstract

In this paper, stability results of central concern for control theory are given for finite-dimensional linear and nonlinear local fractional or fractal differential systems. The main purpose of this paper is to provide some results on stability and asymptotic stability of conformable order systems, together with some illustrating examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20400095

Reference18 articles.

1. IMACS;Matignon D.,1996

2. Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system

3. Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

4. A new Lyapunov function for stability of time-varying nonlinear perturbed systems

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