Almost Periodicity in Impulsive Fractional-Order Reaction–Diffusion Neural Networks With Time-Varying Delays

2021 ◽  
Vol 51 (1) ◽  
pp. 151-161 ◽  
Author(s):  
Jinde Cao ◽  
Gani Stamov ◽  
Ivanka Stamova ◽  
Stanislav Simeonov
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Reaction Diffusion ◽  
Order Reaction ◽  
Almost Periodicity ◽  
Time Varying

Delayed Reaction–Diffusion Cellular Neural Networks of Fractional Order: Mittag–Leffler Stability and Synchronization

2017 ◽  
Vol 13 (1) ◽  
Author(s):  
Ivanka M. Stamova ◽  
Stanislav Simeonov
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Fractional Order ◽  
Lyapunov Method ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Delayed Reaction

This research introduces a model of a delayed reaction–diffusion fractional neural network with time-varying delays. The Mittag–Leffler-type stability of the solutions is investigated, and new sufficient conditions are established by the use of the fractional Lyapunov method. Mittag–Leffler-type synchronization criteria are also derived. Three illustrative examples are established to exhibit the proposed sufficient conditions.

scholarly journals Synchronization of Fractional Order Fuzzy BAM Neural Networks With Time Varying Delays and Reaction Diffusion Terms

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 186551-186571
Author(s):  
M. Syed Ali ◽  
M. Hymavathi ◽  
Grienggrai Rajchakit ◽  
Sumit Saroha ◽  
L. Palanisamy ◽  
...  
Keyword(s):  
Neural Networks ◽  
Fractional Order ◽  
Reaction Diffusion ◽  
Time Varying ◽  
Bam Neural Networks ◽  
Fuzzy Bam Neural Networks
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