Results 81 to 90 of about 1,535 (181)
Mathematical Modeling of Tobacco and Marijuana Coabuse and the Influence of Educational Campaigns
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Substance misuse is a serious threat to people′s health and the socioeconomic stability of countries all over the world. Tobacco and marijuana are among the most abused drugs. The joint misuse of the two substances has made the drug problem in the community worse.
Cecilia Mbithe Wambua +3 more
wiley +1 more source
Mathematics, 2020 In this paper, we study Hyers–Ulam and Hyers–Ulam–Rassias stability of nonlinear Caputo–Fabrizio fractional differential equations on a noncompact interval. We extend the corresponding uniqueness and stability results on a compact interval.
Kui Liu, Michal Fečkan, JinRong Wang
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Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani +3 more
wiley +1 more source
On the Stability of Nonautonomous Linear Impulsive Differential Equations
Journal of Function Spaces and Applications, 2013 We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Ulam-Hyers stability of tuberculosis and COVID-19 co-infection model under Atangana-Baleanu fractal-fractional operator. [PDF]
Sci Rep, 2023 Selvam A +7 more
europepmc +1 more source
Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation
Fractal and FractionalThis 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 Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady +3 more
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Elementary remarks on Ulam–Hyers stability of linear functional equations
Journal of Mathematical Analysis and Applications, 2007 The author proves the Hyers-Ulam stability of the family of linear functional equations of the form \[ \sum_{i=1}^s b_iF\big(\sum_{k=1}^m a_{ik}x_k\big)=0, \] where \(F: S \to X\), \(S\) is a vector space over a field \({\mathbb K}\) of characterisitic zero, \(X\) is a complex Banach space, \(b_1, \cdots, b_s\) are nonzero complex numbers with \(\sum_ ...
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three
Open MathematicsIn this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela +2 more
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On the Stability of a Cubic Functional Equation in Random Normed Spaces
Journal of Mathematical Extension, 2009 The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj
Ulam-Hyers stability of fractional impulsive differential equations
Journal of Nonlinear Sciences and Applications, 2018 Summary: In this paper, we first prove the existence and uniqueness for a fractional differential equation with time delay and finite impulses on a compact interval. Secondly, Ulam-Hyers stability of the equation is established by Picard operator and abstract Gronwall's inequality.
openaire +2 more sources