On fractional variable-order neural networks with time-varying external inputs

Authors

  • Amel Hioual Departement of Mathematics and Computer sciences, University of Larbi Ben M'hidi, Oum El Bouaghi, Algeria https://orcid.org/0000-0001-6944-1689
  • Adel Ouannas Departement of Mathematics and Computer sciences University of Larbi Ben M'hidi, Oum El Bouaghi, Algeria

DOI:

https://doi.org/10.55059/ijm.2022.1.1/5

Keywords:

Fractional variable-order calculus, Fractional variable-order neural networks, Asymptotic stability, Global Asymptotic synchronization

Abstract

This research discuss the existence, uniqueness, asymptotic stability, and global asymptotic synchronization of
a class of Caputo variable-order neural networks with time-varying external inputs. Theory of contraction mapping
is used to establish a sufficient condition for determining the existence and uniqueness of the equilibrium point.
Using the variable fractional Lyapunov approach, we investigate the asymptotic stability of the unique equilibrium.
Synchronization of variable-order chaotic networks is also studied using an effective controller. Three numerical
examples are provided to show the efficacy of the results obtained.
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Published

2022-01-14

How to Cite

Hioual, A., & Ouannas, A. (2022). On fractional variable-order neural networks with time-varying external inputs. Innovative Journal of Mathematics (IJM), 1(1), 52–65. https://doi.org/10.55059/ijm.2022.1.1/5

Issue

Vol. 1 No. 1 (2022)

Section

Articles

License

Copyright (c) 2022 Innovative Journal of Mathematics (IJM)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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