Jleli and Samet (2018) introduced a new metric space and named it as F-space. In this
paper we consider the notion of α-ψ-contraction in the setting of F-metric spaces. We present …

In this paper we consider the asymptotic stability of a generalized linear neutral differential
equation with variable delays by using the fixed point theory. An asymptotic stability theorem …

In this paper, the stochastic quaternion-valued neural networks model with variable
coefficients and neutral delays is considered, and the mean-square stability criterion is …

We present new conditions for asymptotic stability and exponential stability of a class of
stochastic recurrent neural networks with discrete and distributed time varying delays. Our …

In this article we study a linear neutral integro-differential equation with variable delays and
give suitable conditions to obtain asymptotic stability of the zero solution, by means of fixed …

In this paper, we use a fixed point technique and the concept of large contractions to prove
asymptotic stability results of the zero solution of a class of the totally nonlinear neutral …

In this paper we use fixed point methods to prove asymptotic stability results of the zero
solution of a class of totally nonlinear neutral differential equations with functional delay. The …

In this paper, the following nonlinear neutral differential equation x′(t)=-a (t) x (t)+ c (t) x′(t-
τ 1 (t))+ q (t, x (t), x (t-τ 2 (t))) is considered. By using fixed point theory, we give some new …

This paper focuses on neutral stochastic quaternion-valued neural networks (NSQNNs).
Employing some stochastic analysis and inequalities techniques, we establish several …

The nonlinear neutral integro-differential equation d dt x (t)=-t-τ (t)^ ta (t, s) g\bigl (x (s)\bigr)
ds+ d dt G\bigl (t, x\bigl (t-τ (t)\bigr)\bigr), with variable delay τ (t)≥ 0 is investigated. We find …