Existence of positive solution and Hyers–Ulam stability for a nonlinear singular-delay-fractional differential equation

H Khan, T Abdeljawad, M Aslam, RA Khan… - Advances in Difference …, 2019 - Springer
In this article, we consider a study of a general class of nonlinear singular fractional DEs with
p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers …

Stability results of positive solutions for a system of ψ-Hilfer fractional differential equations

MA Almalahi, SK Panchal, F Jarad - Chaos, Solitons & Fractals, 2021 - Elsevier
The major objective of this work is to investigate sufficient conditions of existence and
uniqueness of positive solutions for a finite system of ψ-Hilfer fractional differential …

Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales

B Bordj, A Ardjouni - Advances in the Theory of Nonlinear Analysis …, 2021 - dergipark.org.tr
Let T be a periodic time scale. The purpose of this paper is to use Schauder's fixed point
theorem to prove the existence of periodic and asymptotically periodic solutions of nonlinear …

Ulam stability of dynamic equations on time scales

I Daira, A Ardjouni - Boletín de la Sociedad Matemática Mexicana, 2023 - Springer
In the present manuscript, we discuss the Ulam stability of dynamic equations on time
scales. We get some stability requirements using a fixed point alternative on complete …

Positive periodic solutions of nonlinear dynamic systems with applications to Lotka-Volterra dynamic systems with discrete and distributed delays.

B Bordj, A Ardjouni - Mathematics in Engineering, Science & …, 2022 - search.ebscohost.com
In this paper, we use the Gustafson and Schmitt version of a fixed point theorem in a cone to
show the existence of positive periodic solutions for nonlinear dynamic systems with discrete …

Existence of positive periodic solutions for nonlinear Lotka-Volterra delay dynamic systems on time scales

I Daira, A Ardjouni - Advanced Studies: Euro-Tbilisi Mathematical …, 2024 - projecteuclid.org
In this manuscript, we investigate the existence of positive periodic solutions of a nonlinear
Lotka-Volterra delay dynamic system on time scales. By using Krasnoselskii's fixed point …

[PDF][PDF] Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

F Bouchelaghem, A Ardjouni, A Djoudi - Moroccan Journal of Pure and …, 2021 - sciendo.com
Time scales calculus was initiated in 1988 by Stefan Hilger. It bridges the gap between
continuous and discrete analysis and expands on both theories. Differential equations are …

Periodic solutions of almost linear Volterra integro-dynamic systems

A Guerfi, A Ardjouni - Malaya Journal of Matematik, 2020 - malayajournal.org
Periodic solutions of almost linear Volterra integro-dynamic systems Page 1 Malaya Journal of
Matematik, Vol. 8, No. 4, 1427-1433, 2020 https://doi.org/10.26637/MJM0804/0015 Periodic …

Periodicity, positivity and stability of solutions for some delay dynamic equations using the fixed point technique

I Daira - 2024 - univ-soukahras.dz
This thesis focuses on examining the periodicity, positivity, and stability of solutions for
specific delay dynamic equations on time scales. To achieve this, we initially introduce …

Existence and exponential stability of positive periodic solutions for second-order dynamic equations

B Faycal, A Abdelouaheb, D Ahcene - Ural Mathematical Journal, 2020 - cyberleninka.ru
In this article, we establish the existence of positive periodic solutions for second-order
dynamic equations on time scales. The main method used here is the Schauder fixed point …