Ulam type stability for mixed Hadamard and Riemann–Liouville Fractional Stochastic Differential Equations

M Rhaima, L Mchiri, AB Makhlouf, H Ahmed - Chaos, Solitons & Fractals, 2024 - Elsevier
This study investigates the existence and Ulam–Hyers stability (UHS) results in the context
of mixed Hadamard and Riemann–Liouville Fractional Stochastic Differential Equations …

[PDF][PDF] Hadamard itô-doob stochastic fractional order systems

AB Makhlouf, L Mchiri, H Arfaoui, S Dhahri… - Discret. Contin. Dyn …, 2022 - academia.edu
In this paper, we study the existence and uniqueness of Hadamard Itô-Doob Stochastic
Fractional Order Systems (HIDSFOS) using the Picard iteration method. Different from the …

Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias

AB Makhlouf, ES El-Hady, H Arfaoui… - Boundary Value …, 2023 - Springer
In this paper, we investigate the existence and uniqueness of fractional differential equations
(FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias …

Impulsive memristive cohen–grossberg neural networks modeled by short term generalized proportional Caputo fractional derivative and synchronization analysis

R Agarwal, S Hristova - Mathematics, 2022 - mdpi.com
The synchronization problem for impulsive fractional-order Cohen–Grossberg neural
networks with generalized proportional Caputo fractional derivatives with changeable lower …

Proportional Itô–Doob Stochastic Fractional Order Systems

A Ben Makhlouf, L Mchiri, HA Othman, HMS Rguigui… - Mathematics, 2023 - mdpi.com
In this article, we discuss the existence and uniqueness of proportional Itô–Doob stochastic
fractional order systems (PIDSFOS) by using the Picard iteration method. The paper …

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

E El-hady, S Öğrekçi, TA Lazăr, VL Lazăr - Fractal and Fractional, 2024 - mdpi.com
This article aims to use various fixed-point techniques to study the stability issue of the
impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as …

Some results on proportional Caputo neutral fractional stochastic differential equations

AB Makhlouf, J Sallay - Discrete and Continuous Dynamical …, 2024 - aimsciences.org
This paper explores Proportional Neutral Fractional Stochastic Differential Equations
(PNFSDEs), emphasizing their existence, uniqueness, and Hyers-Ulam Stability (HUS). The …

Bilateral Harnack Inequalities for Stochastic Differential Equation with Multiplicative Noise

Z An, G Zong - Journal of Function Spaces, 2022 - Wiley Online Library
By constructing a coupling with unbounded time‐dependent drift, a lower bound estimate of
dimension‐free Harnack inequality with power is obtained for a large class of stochastic …