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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit +5 more
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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
doaj +1 more source
Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses
, 2021 Wenxuan Lang +3 more
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Ulam Stability of a Quartic Functional Equation
Abstract and Applied Analysis, 2012 The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The functional equation f(2x + y) + f(2x − y) = 4f(x + y) + 4f(x − y) + 24f(x) − 6f(y) is called a quartic functional equation, all of its solution is said to be a quartic function.
Bodaghi, Abasalt +2 more
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Dynamics of chaotic system based on circuit design with Ulam stability through fractal-fractional derivative with power law kernel. [PDF]
Sci Rep, 2023 Khan N +7 more
europepmc +1 more source
Hyers–Ulam stability of Sahoo–Riedel’s point
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, W., Xu, S., Ye, F.
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The Hyers–Ulam stability of nonlinear recurrences
Journal of Mathematical Analysis and Applications, 2007 In the paper of \textit{D. Popa} [J. Math. Anal. Appl. 309, No. 2, 591--597 (2005; Zbl 1079.39027)] the Hyers-Ulam stability problem was proved for linear recurrences in a Banach space. In the paper under review, the authors investigate this problem for nonlinear recurrences in a metric space \((X, d)\). More precisely, they show that if \(\{x_n\}\), \(
Brzdȩk, Janusz, Popa, Dorian, Xu, Bing
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Hyers–Ulam Stability Results for a Functional Inequality of
, 2022 Raweerote Suparatulatorn +1 more
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