Results 21 to 30 of about 111 (111)
HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
Bulletin of the Korean Mathematical Society, 2003 Let \(X\) and \(Y\) be real vector spaces. One of main theorems of this paper states that a function \(f: X\to Y\) satisfies the functional equation \[ n^2{n-2\choose k-2}\, f\Biggl({x_1+\cdots+ x_n\over n}\Biggr)+ {n-2\choose k-1}\,\sum^n_{i=1} f(x_i)= k^2 \sum_{1\leq ...
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Hyers-Ulam-Rassias stability of Jensen’s equation and its application [PDF]
Proceedings of the American Mathematical Society, 1998 The Hyers-Ulam-Rassias stability for the Jensen functional equation is investigated, and the result is applied to the study of an asymptotic behavior of the additive mappings; more precisely, the following asymptotic property shall be proved: Let X X and Y Y be a real normed space and a real Banach space ...
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The Impact of Memory Effects on Lymphatic Filariasis Transmission Using Incidence Data From Ghana
Engineering Reports, Volume 7, Issue 7, July 2025.Modeling Lymphatic Filariasis by incorporating disease awareness through fractional derivative operators. ABSTRACT Lymphatic filariasis is a neglected tropical disease caused by a parasitic worm transmitted to humans by a mosquito bite. In this study, a mathematical model is developed using the Caputo fractional operator.
Fredrick A. Wireko +5 more
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Hyers-Ulam-Rassias Stability for the Heat Equation
Applied Mathematics, 2013 In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias.
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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
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
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Hyers-Ulam-Rassias stability of a generalized Pexider functional equation
Banach Journal of Mathematical Analysis, 2007 In this interesting paper, the authors investigate the generalized Hyers-Ulam stability for a functional equation of Pexider type on groups.
Charifi, Ahmed +2 more
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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
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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
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.Water contamination is a crucial area of study that has drawn significant attention from researchers and environmentalists due to its profound impact on humans, animals, and plants. It is equally harmful as air and soil contamination and is closely linked to both.
Pasquini Fotsing Soh +4 more
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