Results 81 to 90 of about 2,495 (216)
Hyers-Ulam Stability of the First-Order Matrix Differential Equations
Journal of Function Spaces, 2015 We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential ...
Soon-Mo Jung
doaj +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Dog rabies remains a major public health concern in many regions, including Ulanga District, Morogoro, Tanzania. This study develops a fractional‐order compartmental model employing Caputo derivatives to incorporate memory effects, providing a more realistic representation of rabies transmission dynamics.
Jufren Zakayo Ndendya +3 more
wiley +1 more source
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj
Partial Differential Equations in Applied MathematicsIn this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya +3 more
doaj +1 more source
Stability of the Volterra Integrodifferential Equation [PDF]
, 2013 In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
core
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Rabies remains a significant public health concern, particularly in regions with high dog‐mediated transmission, and understanding its dynamics is crucial for effective control strategies. This study investigates the transmission dynamics of rabies by developing a deterministic human‐dog model extended to fractional‐order derivatives, incorporating ...
Jufren Zakayo Ndendya +4 more
wiley +1 more source
The Life and Work of D.H. Hyers, 1913-1997 [PDF]
, 2006 The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over ...
Singleton, Brent D.
core
On the generalized Hyers–Ulam stability of multi-quadratic mappings
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
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
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