Farah Dridi

• Doctor of Mathematics
• University of Carthage

The main aim of this work is to study a class of Fuzzy Cellular Neural Networks (FCNNs) . New criteria are established for the existence and the uniqueness of weighted pseudo almost automorphic solutions for the addressed model. Our approach is based on Banach’s fixed point principle and differential inequality techniques. Then, numerical example i...

In this article, we investigated a class of genetic regulatory networks (GRNs) with time-varying delays and Stepanov-like weighted pseudo-almost automorphic coefficients. By Banach fixed point theorem, we firstly established the existence results of the weighted pseudo-almost automorphic solutions for the proposed GRNs. Secondly, by using suitable...

In this work, we investigated a class of impulsive Hopfield Neural Networks (HNNs) with delays Clifford algebra. By Banach fixed point theorem, we firstly established the existence results of the piecewise weighted pseudo almost automorphic solutions for the proposed HNNs. Secondly, by Gronwall-Bellman inequality and mathematical analysis skills, n...

In this manuscript, we studied a class of delayed Fuzzy Genetic Regulatory Networks (FGRNs) with Stepanov-like weighted pseudo almost automorphic coefficients. New criteria for the existence, uniqueness and global exponential stability of its weighted pseudo almost automorphic solution are established. Our approach is based on Banach fixed point th...

In this paper, we investigate a class of discontinuous Cohen-Grossberg neural networks (DCGNNs) with time-varying delays. Under the framework of Filippov solution, by means of differential inclusions theory and the set-valued version of the Mawhin coincidence theorem, we firstly establish the existence results of 2kT-periodic solutions for the prop...

This paper is concerned with an interval general Cohen-Grossberg bidirectional associative memory neural networks with mixed delays. Under proper conditions, the authors studied the existence, the uniqueness and the global exponential stability of almost automorphic solutions for the suggested system. The proposed method was mainly based on the exp...

The main aim of this work is to study a class of neutral type Fuzzy Cellular Neural Networks (FCNNs) with mixed delays and D operator. New criteria are established for the existence, uniqueness and global exponential stability of weighted pseudo almost automorphic solutions for the addressed model in Clifford algebra. Our approach is based on Banac...

This paper is concerned with a hematopoiesis model with mixed delays. Under new conditions, we studied the existence, uniqueness and global exponential stability of pseudo almost automorphic solutions for the suggested model. Our approach is mainly based on the exponential dichotomy of linear differential equation, Banach’s fixed-point principle an...

We aim to study a class of neutral type High-Order Hopfield Neural Networks (HOHNNs) with D operator. New criteria are established for the existence, uniqueness and global exponential stability of Pseudo Almost Automorphic (PAA) solutions of the considered model. Our approach is based on the exponential dichotomy of linear differential equation, Ba...

This paper is concerned with an impulsive non-autonomous high-order Hopfield neural network with mixed delays. Under proper conditions, we studied the existence, the uniqueness and the global exponential stability of asymptotic almost automorphic solutions for the suggested system. Our method was mainly based on the Banach’s fixed-point theorem and...

This paper is concerned with an impulsive Cohen–Grossberg neural networks with mixed delays. Under proper conditions, we studied the existence, the uniqueness and the global exponential stability of asymptotic almost automorphic solutions for the suggested system. Our method was mainly based on the Banach’s fixed point theorem, the generalized Gron...

This article is concerned with a high-order Hopfield bidirectional associative memory neural networks with time-varying coefficients and mixed delays. Sufficient conditions are derived for the existence, the uniqueness and the exponential stability of \((\mu ,\nu )\)-pseudo-almost automorphic solutions of the considered model. Banach fixed-point th...

In this paper, a class of neutral type fuzzy neural networks with non-operator based neutral functional differential equations is analysed. Using the Banach’s fixed point principle, some sufficient conditions for the existence, the uniqueness and the global exponential stability of the almost automorphic solutions are obtained. Two examples are giv...

Existence and uniqueness of pseudo almost automorphic solutions for a class of high-order Hopfield neural networks are established by employing a suitable fixed point theorem and differential inequality. Moreover, the attractivity and global exponential stability of the pseudo almost automorphic solution are also considered for the system. Two Nume...