[PDF][PDF] An application of Lyapunov functions to properties of solutions of a perturbed fractional differential system

C Tunç - Int. J. Math. Comput. Sci, 2022 - ijmcs.future-in-tech.net
This paper deals with a perturbed nonlinear system of fractional order differential equations
(FrODEs) with Caputo derivative. The purpose of the paper is to discuss uniform stability …

Dichotomy condition and periodic solutions for two nonlinear neutral systems

MB Mesmouli, AA Attiya… - Journal of Function …, 2022 - Wiley Online Library
In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool
here is to use dichotomy theory to construct an implicit solution for these two systems …

Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms

MB Mesmouli, A Ardjouni, H Saber - Mathematics, 2023 - mdpi.com
In this manuscript, we generalise previous results in the literature by providing sufficient
conditions for the matrix measure to guarantee the stability, asymptotic stability and …

Stability conditions for a mixed linear Levin–Nohel integrodifferential system

MB Mesmouli, A Ardjouni, A Djoudi - Journal of Integral Equations …, 2022 - projecteuclid.org
We use the Banach fixed point theorem to obtain stability results of the zero solution for a
mixed linear Levin–Nohel integrodifferential system. To be more precise, we are concerned …

A LOW RANK ODE BASED TECHNIQUE FOR NUMERICAL APPROXIMATION OF LOWER BOUNDS OF STRUCTURED SINGULAR VALUE

MU Rehman, J Alzabut, F Amir… - … Mountain Journal of …, 2024 - projecteuclid.org
The structured singular value is a well-known mathematical quantity which plays a vital role
in the investigation of the stability, instability, robustness and performance of linear input and …

[PDF][PDF] OSCILLATION THEORY FOR NONLINEAR ADVANCED DIFFERENTIAL EQUATIONS

N KILIÇ - Electronic Journal of Mathematical Analysis and …, 2023 - ejmaa.journals.ekb.eg
The purpose of this paper is to investigate the first order nonlinear advanced differential
equations with several arguments. Moreover, some new conditions for the solutions of …

[PDF][PDF] Asymptotic behavior of Levin-Nohel nonlinear difference system with several delays

MB Mesmouli, C Tunç, TS Hassan, HN Zaidi, AA Attiya - AIMS Math, 2023 - aimspress.com
In this manuscript, we considered a system of difference equations with delays and we
established sufficient conditions to guarantee stability, asymptotic stability and exponential …

[PDF][PDF] Research Article Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems

MB Mesmouli, AA Attiya, AA Elmandouha, AMJ Tchalla… - 2022 - academia.edu
In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool
here is to use dichotomy theory to construct an implicit solution for these two systems …