scholarly journals A neutral fractional Halanay inequality and application to a Cohen–Grossberg neural network system

2021 ◽  
Author(s):  
Mohammed D. Kassim ◽  
Nasser‐eddine Tatar
Keyword(s):  
Neural Network ◽  
Network System ◽  
Halanay Inequality ◽  
Neural Network System ◽  
Fractional Halanay Inequality

scholarly journals A neutral fractional Halanay inequality and application to a Cohen-Grossberg neural network system

2021 ◽  
Author(s):  
Mohammed Kassim ◽  
Nasser-eddine Tatar
Keyword(s):  
Neural Network ◽  
Fractional Derivative ◽  
Neutral Type ◽  
Network System ◽  
Network Systems ◽  
Large Classes ◽  
Halanay Inequality ◽  
Order Case ◽  
Neural Network System ◽  
Fractional Halanay Inequality

We extend the well-known Halanay inequality to the fractional order case in presence of distributed delays and delays of neutral type (in the fractional derivative). Both the discrete and distributed neutral delays are investigated. It is proved that solutions decay toward zero in a Mittag-Leffler manner under some rather general conditions. Some large classes of kernels and examples satisfying our assumptions are provided. We apply our findings to prove Mittag-Leffler stability for solutions of fractional neutral network systems of Cohen-Grossberg type.

scholarly journals Novel artificial intelligent/neural network system for staging of nonalcoholic steatohepatitis

2021 ◽  
Author(s):  
Takeshi Okanoue ◽  
Toshihide Shima ◽  
Yasuhide Mitsumoto ◽  
Atsushi Umemura ◽  
Kanji Yamaguchi ◽  
...  
Keyword(s):  
Neural Network ◽  
Nonalcoholic Steatohepatitis ◽  
Network System ◽  
Artificial Intelligent ◽  
Neural Network System
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