Results 41 to 50 of about 1,808 (121)
Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
doaj +1 more source
Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control
Engineering Reports, Volume 7, Issue 5, May 2025.The dynamics of the monkeypox disease in the population. ABSTRACT This study constructs a compartmental model that incorporates the dynamics of implementing a double‐dose vaccination for the Mpox disease. The study further explores the pattern of saturated transmission dynamics of the Mpox disease.
Fredrick Asenso Wireko +5 more
wiley +1 more source
On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj
Journal of Mathematics, 2023 This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,∞,a≥0, in an applicable Banach space by utilizing the Banach ...
Sabri T. M. Thabet, Imed Kedim
doaj +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Fractional stochastic differential equations with memory effects are fundamental in modeling phenomena across physics, biology, and finance, where long‐range dependencies and random fluctuations coexist, yet their stability analysis under non‐Lipschitz conditions remains a significant challenge, particularly for systems involving Riemann–Liouville ...
Mohsen Alhassoun +2 more
wiley +1 more source
On the Cauchy--Rassias Inequality and Linear n-Inner Product Preserving Mappings
, 2005 We prove the Cauchy-Rassias stability of linear n-inner product preserving mappings in $n$-inner product Banach spaces. We apply the Cauchy-Rassias inequality that plays an influencial role in the subject of functional equations.
Baak, Choonkil +2 more
core +1 more source
Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami +4 more
wiley +1 more source
Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
doaj +1 more source
Ural Mathematical Journal, 2023 The paper considers the Hyers–Ulam–Rassias stability for systems of nonlinear differential equations with a generalized action on the right-hand side, for example, containing impulses — delta functions.
Alexander N. Sesekin, Anna D. Kandrina
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this work, we study the existence and uniqueness of mild solutions for linear and semilinear control systems using the new deformable fractional derivative. The results have been obtained and presented using the deformable Laplace transform and its inverse, as well as the theory of semigroups and a rigorous application of Banach’s fixed‐point ...
Boulkhairy Sy +3 more
wiley +1 more source