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 …

Ulam–Hyers–Mittag–Leffler Stability for a Class of Nonlinear Fractional Reaction–Diffusion Equations with Delay

R Shah, N Irshad - International Journal of Theoretical Physics, 2025 - Springer
In this paper, we introduce and analyze two new results on the Mittag–Leffler–Ulam–Hyers
stability for a class of nonlinear fractional reaction–diffusion equations with delay. We …

[PDF][PDF] Stability results for neutral fractional stochastic differential equations

O Kahouli, S Albadran, Z Elleuch, Y Bouteraa… - AIMS Math, 2024 - researchgate.net
Many techniques have been recently employed by researchers to address the challenges
posed by fractional differential equations. In this paper, we investigate the concept of Ulam …

On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces

A Boutiara, SK Ntouyas, TA Assiri, J Tariboon… - Qualitative Theory of …, 2024 - Springer
This research paper study the existence, uniqueness and Ulam–Hyers stability of the
solutions of a certain system of thegeneralized Caputo fractional differential equations in the …

Qualitative Analysis of Impulsive Stochastic Hilfer Fractional Differential Equation

H Khalil, A Zada, SB Moussa, IL Popa… - Qualitative Theory of …, 2024 - Springer
This paper proves the qualitative properties like existence, uniqueness and Ulam-Hyers-
Rassias stability for a solution of a nonlinear impulsive Hilfer fractional stochastic differential …