On Variable-Order Fractional Discrete Neural Networks: Existence, Uniqueness and Stability

被引：14

作者：

Almatroud, Othman Abdullah ^{[1
]}

Hioual, Amel ^{[2
]}

Ouannas, Adel ^{[3
]}

Sawalha, Mohammed Mossa ^{[1
]}

Alshammari, Saleh ^{[1
]}

Alshammari, Mohammad ^{[1
]}

机构：

[1] Univ Hail, Fac Sci, Dept Math, Hail 81451, Saudi Arabia

[2] Univ Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi 04000, Algeria

[3] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi 04000, Algeria

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期

关键词：

discrete fractional variable-order neural networks; discrete nabla variable-orde fractional operators; Banach fixed point theorem; uniform stability; DERIVATIVES;

D O I：

10.3390/fractalfract7020118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given the recent advances regarding the studies of discrete fractional calculus, and the fact that the dynamics of discrete-time neural networks in fractional variable-order cases have not been sufficiently documented, herein, we consider a novel class of discrete-time fractional-order neural networks using discrete nabla operator of variable-order. An adequate criterion for the existence of the solution in addition to its uniqueness for such systems is provided with the use of Banach fixed point technique. Moreover, the uniform stability is investigated. We provide at the end two numerical simulations illustrating the relevance of the aforementioned results.

引用

页数：11

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