Uniform Euler approximation of solutions of fractional-order delayed cellular neural network on bounded intervals

DOI10.1515/tmj-2017-0012zbMath1362.26007OpenAlexW2599338473MaRDI QIDQ523908

Daniel Sepúlveda, Syed Abbas, Manuel Pinto, Swati Tyagi

Publication date: 25 April 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0012

zbMATH Keywords

neural networkerror analysisapproximate solutionfractional orderMittag-Leffler stabilitypiecewise constant argument of generalized type

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional derivatives and integrals (26A33) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items

Bifurcations in a fractional-order BAM neural network with four different delays, Multistability of delayed fractional-order competitive neural networks, Approximation of solutions of fractional-order delayed cellular neural network on \([0,\infty)\), Global exponential convergence of fuzzy cellular neural networks with leakage delays, distributed delays and proportional delays, Finite-time stability for a class of fractional-order fuzzy neural networks with proportional delay, Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and attractivity of \(k\)-almost automorphic sequence solutions of a model of cellular neural networks with delays
• Stability analysis of Caputo fractional-order nonlinear systems revisited
• On a discretization process of fractional-order logistic differential equation
• Stability analysis of linear fractional differential system with multiple time delays
• A generalized Gronwall inequality and its application to a fractional differential equation
• Stability of nonlinear waves in a ring of neurons with delays
• Fractional-order Chua's system: discretization, bifurcation and chaos
• Uniform stability analysis of fractional-order BAM neural networks with delays in the leakage terms
• Existence and attractivity of \(k\)-pseudo almost automorphic sequence solution of a model of bidirectional neural networks
• Stability analysis of fractional-order Hopfield neural networks with time delays
• Mittag-Leffler stability of fractional-order Hopfield neural networks
• Controllability and observability for a linear time varying system with piecewise constant delay
• Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
• Robust speed control of a low damped electromechanical system based on CRONE control: application to a four mass experimental test bench
• Chaotic Fractional Order Delayed Cellular Neural Network
• A new dissipation model based on memory mechanism
• Stability analysis of fractional-order Cohen–Grossberg neural networks with time delay
• Finite-Time Stability of Fractional-Order Neural Networks with Delay