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Now showing items 11-20 of 20
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 ...
Design and Practical Stability of a New Class of Impulsive Fractional-Like Neural Networks
(3/15/2020)
In this paper, a new class of impulsive neural networks with fractional-like derivatives is defined, and the practical stability properties of the solutions are investigated. The stability analysis exploits a new type of ...
On the Finite-Time Boundedness and Finite-Time Stability of Caputo-Type Fractional Order Neural Networks with Time Delay and Uncertain Terms
(2022-06-30)
This study investigates the problem of finite-time boundedness of a class of neural networks
of Caputo fractional order with time delay and uncertain terms. New sufficient conditions are
established by constructing ...
Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order
(2022-11-10)
In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative. The fundamental problems of existence and ...
Computational Mathematics and Neural Systems
(4/1/2021)
This special issue was conceived to explore the latest advancements in the field of computational techniques for solving forward and inverse problems [...]
Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations
(7/3/2020)
The present paper introduces the concept of integral manifolds for a class of delayed impulsive neural networks of Cohen–Grossberg-type with reaction–diffusion terms. We establish new existence and boundedness results for ...
Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior
(8/31/2020)
We present a biological fractional n-species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability ...
Impulsive Delayed Lasota–Wazewska Fractional Models: Global Stability of Integral Manifolds
(10/31/2019)
In this paper we deal with the problems of existence, boundedness and global stability of integral manifolds for impulsive Lasota–Wazewska equations of fractional order with time-varying delays and variable impulsive ...
Stability of Sets Criteria for Impulsive Cohen-Grossberg Delayed Neural Networks with Reaction-Diffusion Terms
(12/21/2019)
The paper proposes an extension of stability analysis methods for a class of impulsive reaction-diffusion Cohen-Grossberg delayed neural networks by addressing a challenge namely stability of sets. Such extended concept ...
Boundary-Value Problem for Nonlinear Fractional Differential Equations of Variable Order with Finite Delay via Kuratowski Measure of Noncompactness
(2023-01-12)
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays. The existence of solutions is first studied using a Darbo's fixed-point ...