Ulam stabilities of nonlinear iterative integro-differential equations

O Tunç, C Tunç - Revista de la Real Academia de Ciencias Exactas …, 2023 - Springer
In this paper, we deal with nonlinear iterative integro-functional differential equations
(IIFDEs) of first order. We study the uniqueness of solutions and Ulam stabilities regarding …

On the Ulam stabilities of nonlinear integral equations and integro‐differential equations

O Tunç, C Tunç, G Petruşel… - Mathematical Methods in …, 2024 - Wiley Online Library
In this research, two systems of nonlinear Volterra integral equation and Volterra integro‐
differential equation were considered. New results in sense of Ulam stabilities in relation to …

[HTML][HTML] Ulam–Hyers–Mittag-Leffler stability for a ψ-Hilfer problem with fractional order and infinite delay

MS Abdo, SK Panchal, HA Wahash - Results in Applied Mathematics, 2020 - Elsevier
The research article concerned with develo** the qualitative theory for nonlinear fractional
functional differential equations (FFDEs) of arbitrary order with infinite delay involving …

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

T Caraballo, L Mchiri, M Rhaima - Stochastics, 2022 - Taylor & Francis
Full article: Ulam–Hyers–Rassias stability of neutral stochastic functional differential
equations Skip to Main Content Taylor and Francis Online homepage Browse Search …

Ulam–Hyers–Rassias stability of neutral functional integrodifferential evolution equations with non-instantaneous impulses on an unbounded interval

A Bensalem, A Salim, M Benchohra - Qualitative Theory of Dynamical …, 2023 - Springer
In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a
class of functional integrodifferential evolution equations with state-dependent delay and …

The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam

JR Graef, C Tunç, M Şengun, O Tunç - Nonautonomous Dynamical …, 2023 - degruyter.com
In this study, an initial-value problem for a nonlinear Volterra functional integro-differential
equation on a finite interval was considered. The nonlinear term in the equation contains …

Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator

I Khan, A Zada - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this manuscript, we employ integrated resolvent operator to derive the variation of
constants formula for the solution of the impulsive integro-differential system, in nonlocal …

Hyers–Ulam stability of impulsive Volterra delay integro-differential equations

DA Refaai, MMA El-Sheikh, GAF Ismail… - Advances in Difference …, 2021 - Springer
This paper discusses different types of Ulam stability of first-order nonlinear Volterra delay
integro-differential equations with impulses. Such types of equations allow the presence of …

[HTML][HTML] A robust iterative approach for solving nonlinear Volterra Delay integro-differential equations

OA Efut, UU Effiong, ID Ikechi - Ural Mathematical Journal, 2021 - cyberleninka.ru
This paper presents a new iterative algorithm for approximating the fixed points of
multivalued generalized α-nonexpansive map**s. We study the stability result of our new …

Mittag–Leffler–Ulam stabilities for variable fractional-order differential equations driven by Lévy noise

S Moualkia, Y Liu, J Qiu, J Cao - Nonlinear Dynamics, 2025 - Springer
This paper is devoted to investigating the existence and uniqueness of solutions, as well as
Mittag–Leffler–Ulam stabilities for nonlinear variable fractional-order differential equations …