Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 76
Ulam-Hyers stability of fractional multivariable-order neural networks with time-varying external inputs
Amel Hioual, Adel Ouannas, Taki Eddine Oussaeif
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 01, 2022
March 03, 2073
April 15, 2073

Abstract: We investigate in this communication Ulam-Hyers stability of fractional multivariable order neural networks with timevarying external inputs and Atangana-Beleanu-Caputo derivative, where the state equations have fractional variable orders ranging from 0 to 1. The characteristics of fractional variable calculus and the particular solution of the problem are used to present innovative features of the Ulam-Hyers stability theorem for fractional multivariable order neural networks with time-varying external inputs. To highlight the value of the gathered findings, an illustrative example is ...