Results 61 to 70 of about 1,528 (183)
ON HYERS-ULAM STABILITY OF THE PEXIDER EQUATION
Demonstratio Mathematica, 2004 The following result is proved. Theorem: Let \((S,+)\) be a commutative semigroup and let \(X\) be a~sequentially complete linear topological Hausdorff space. Assume that \(V\) is a sequentially closed, bounded, convex and symmetric with respect to zero subset of \(X\).
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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
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman +4 more
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Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations
Mathematics, 2022 In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian +2 more
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Locally Bounded Second κ‐Variation Solution of an Integro‐Differential Equation With Infinite Delay
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This work presents conditions under which the Volterra integral equation of the second kind admits a unique solution in the class of locally bounded second κ‐variation functions on [0, +∞). Our approach relies on successive Picard iterations to obtain such a solution on a compact interval, and then to prolong it to [0, +∞).
Luz Elimar Marchan +3 more
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An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif +3 more
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Hyers–Ulam stability for a nonlinear iterative equation [PDF]
Colloquium Mathematicum, 2002 Hyers-Ulam stability of the nonlinear iterative functional equation \(G(f^{n_1}(x), \dots, f^{n_k}(x)) =F(x)\) is considered. \(F\) is assumed to be given and \(f\) an unknown function. Both \(F\) and \(f\) are self-maps of \(I\), a subset of a Banach space; \(G:I^k\to I\), where, as usual, \(I^k=I\times \cdots\times I\), \(f^0(x)=x\), \(f^{i+1}(x) =f ...
Xu, Bing, Zhang, Weinian
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Mathematics, 2020 A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
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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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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
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