[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 …

Analysis and implementation of numerical scheme for the variable-order fractional modified sub-diffusion equation

U Ali, M Naeem, FA Abdullah, MK Wang, FM Salama - Fractals, 2022 - World Scientific
This paper addresses the numerical study of variable-order fractional differential equation
based on finite-difference method. We utilize the implicit numerical scheme to find out the …

Approximate Solution of GCF PDM Schrödinger Equation for a Symmetrical Modified Pöschl–Teller Potential by GCF Laplace Transform Method

S Wibowo, A Suparmi, CR Indrati, C Cari - International Journal of …, 2023 - Springer
In this paper, we introduce a new definition of the general conformable fractional (GCF)
Laplace transform with respect to the function Φ generated by the fractional conformable …

Stability of a fractional advection–diffusion system with conformable derivative

H Arfaoui, AB Makhlouf - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper investigates the stability of fractional advection–diffusion system with
conformable derivative in infinite time interval. We have established new exponential …

[HTML][HTML] Stability results for the Darboux problem of conformable partial differential equations

R Ghania, L Mchiri, M Rhaima, M Hannabou… - Axioms, 2023 - mdpi.com
In this paper, we investigate the Darboux problem of conformable partial differential
equations (DPCDEs) using fixed point theory. We focus on the existence and Ulam–Hyers …

[HTML][HTML] 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 …

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 …