Novel Results for the Stability of h-Discrete Fractional Neural Networks with Nonsingular and Nonlocal Kernels

Authors

  • Amel Hioual Departement of Mathematics and Computer sciences, University of Larbi Ben M'hidi, Oum El Bouaghi, Algeria

DOI:

https://doi.org/10.55059/ijm.2022.1.3/32

Keywords:

discrete-time fractional neural networks, h-discrete nabla ABC fractional operator, Schauder fixed point theorem, Ulam-Hyers stability

Abstract

We investigate at a novel type of nonlinear discrete-time fractional neural networks using the h-discrete nabla ABC fractional operator. To derive appropriate criteria for the existence and uniqueness of solutions to the issues at hand, we apply basic fixed-point theory techniques. Furthermore, The Ulam-Hyers stability of the considered model, as well as significant findings, are shown. Moreover, to highlight the validity of the presented conclusions, two and three-dimensional examples are explored. 

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Published

2022-07-14

How to Cite

Hioual, A. (2022). Novel Results for the Stability of h-Discrete Fractional Neural Networks with Nonsingular and Nonlocal Kernels. Innovative Journal of Mathematics (IJM), 1(3), 1–13. https://doi.org/10.55059/ijm.2022.1.3/32

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Articles