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Synchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control
(2022-10-21)
This paper introduces a novel synchronization scheme for fractional-order neural networks with time delays and reaction-diffusion terms via pinning control. We consider Caputo fractional derivatives, constant delays and ...
Impulsive Reaction-Diffusion Delayed Models in Biology: Integral Manifolds Approach
(2021-12-03)
In this paper we study an impulsive delayed reaction-diffusion model applied in biology. The introduced model generalizes existing reaction-diffusion delayed epidemic models to the impulsive case. The integral manifolds ...
Impulsive Fractional Differential Inclusions and Almost Periodic Waves
(6/18/2021)
In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative. New results on the existence and uniqueness are established ...
Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds
(11/7/2019)
In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are ...
On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays
(3/3/2020)
The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen–Grossberg-type impulsive neural networks with time-varying delays. Instead of impulsive discontinuities at fixed moments of time, we consider ...
On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order
(2022-06-27)
In this manuscript we introduce a quadratic integral equation of the Urysohn type of
fractional variable order. The existence and uniqueness of solutions of the proposed fractional model
are studied by transforming it ...
Synchronization in a Multiplex Network of Nonidentical Fractional-Order Neurons
(2022-03-18)
Fractional-order neuronal models that include memory effects can describe the rich dynamics of the firing of the neurons. This paper studies synchronization problems in a multiple network of Caputo–Fabrizio type fractional ...
Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis
(2021-07-27)
In this paper, a fractional-order Cohen–Grossberg-type neural network with Caputo fractional derivatives is investigated. The notion of almost periodicity is adapted to the impulsive generalization of the model. General ...
Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations
(7/21/2019)
The present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive control differential equations with variable impulsive perturbations. We will consider these problems in light ...
Lyapunov Approach for Almost Periodicity in Impulsive Gene Regulatory Networks of Fractional Order with Time-Varying Delays
(2021-12-09)
This paper investigates a class of fractional-order delayed impulsive gene regulatory networks (GRNs). The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type. The ...