A qualitative investigation on Caputo fractional neutral VF integro differential equation and its uniform stability

D Gupta, M Sen, N Sarkar, BA Miah - The Journal of Analysis, 2024 - Springer
In this article, we consider a Caputo fractional nonlinear neutral Volterra-Fredholm (VF) type
Integro differential equation (IDE). Some fundamental criteria related to the existence and …

Stability in nonlinear neutral integro-differential equations with variable delay using fixed point theory

A Ardjouni, A Djoudi - Journal of Applied Mathematics and Computing, 2014 - Springer
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 …

[PDF][PDF] Fixed points and stability in nonlinear neutral Volterra integro-differential equations with variable delays

A Ardjouni, A Djoudi - Electronic Journal of Qualitative Theory of …, 2013 - real.mtak.hu
In this paper we use the contraction mapping theorem to obtain asymptotic stability results of
the zero solution of a nonlinear neutral Volterra integro-differential equation with variable …

Asymptotic stability of nonlinear neutral delay integro-differential equations

G Nowak, SH Saker, A Sikorska-Nowak - Mathematica Slovaca, 2023 - degruyter.com
In this paper, by using Sadovskii's fixed point theorem and the properties of the measure of
noncompactness, we establish some sufficient conditions for the asymptotic stability results …

[PDF][PDF] Asymptotic stability in nonlinear neutral Levin-Nohel integro-differential equations

K Bessioud, A Ardjouni, A Djoudi - Journal of Nonlinear …, 2017 - scholar.archive.org
In this paper we use the contraction mapping theorem to obtain asymptotic stability results
about the zero solution for the following nonlinear neutral Levin-Nohel integro-differential …

Stability in nonlinear Levin-Nohel integro-differential equations.

MB Mesmouli, A Ardjouni, A Djoudi - Nonlinear Studies, 2015 - search.ebscohost.com
In this paper, we use a Banach fixed point theorem to obtain stability results of the zero
solution of a nonlinear Levin-Nohel integro-differential equations with functional delay. To …

[PDF][PDF] Periodic and asymptotically periodic solutions for neutral nonlinear coupled Volterra integro-differential systems with two variable delays

B Mansouri, A Ardjouni, A Djoudi - Bull. Inst. Math. Acad. Sinica …, 2021 - math.sinica.edu.tw
In this paper, we study the existence of periodic and asymptotically periodic solutions of
neutral nonlinear coupled Volterra integro-differential systems. We furnish sufficient …

[PDF][PDF] Stability for nonlinear neutral integro-differential equations with variable delay

A Ardjouni, A Djoudi - Mathematica Moravica, 2015 - pdfs.semanticscholar.org
In this paper we use the contraction mapping principle to obtain asymptotic stability results of
a nonlinear neutral integrodifferential equation with variable delay. An asymptotic stability …

Fixed points and stability of a class of integrodifferential equations

D Pi - Mathematical Problems in Engineering, 2014 - Wiley Online Library
We study a class of integrodifferential functional differential equations x¨+ f (t, x, x˙) x˙+∑ j= 1
N∫ t-rj (t) taj (t, s) gj (s, x (s)) ds= 0 with variable delay. By using the fixed point theory, we …

Study of asymptotic behavior of solutions of neutral mixed type difference equations

M Gouasmia, A Ardjouni… - Open Journal of …, 2020 - article.researchpromo.com
Study of asymptotic behavior of solutions of neutral mixed type difference equations Page 1
Article Study of asymptotic behavior of solutions of neutral mixed type difference equations …