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On Variable-Order Fractional Discrete Neural Networks: Solvability and Stability.
- Source :
-
Fractal & Fractional . Jun2022, Vol. 6 Issue 2, p119. 1p. - Publication Year :
- 2022
-
Abstract
- Few papers have been published to date regarding the stability of neural networks described by fractional difference operators. This paper makes a contribution to the topic by presenting a variable-order fractional discrete neural network model and by proving its Ulam–Hyers stability. In particular, two novel theorems are illustrated, one regarding the existence of the solution for the proposed variable-order network and the other regarding its Ulam–Hyers stability. Finally, numerical simulations of three-dimensional and two-dimensional variable-order fractional neural networks were carried out to highlight the effectiveness of the conceived theoretical approach. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 6
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 155521501
- Full Text :
- https://doi.org/10.3390/fractalfract6020119