Results 121 to 130 of about 3,088,117 (225)

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Manzoor Ahmad, A. Zada, J. Alzabut
semanticscholar   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In 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, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In 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, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Ulam′s Type Stability [PDF]

Abstract and Applied Analysis, 2012
Brzdęk, Janusz, Brillouët-Belluot, Nicole, Ciepliński, Krzysztof, Xu, Bing   +3 more
openaire   +3 more sources

The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability

AIMS Mathematics
In this paper, we investigated the Hyers–Ulam stability of the coefficient multipliers on the Hardy space $ H^2 $ and the Dirichlet space $ \mathcal{D}^2 $.
Chun Wang
doaj   +1 more source

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, Alias, Idham Arif, Ghahramani, Mohammad Hosein   +2 more
openaire   +3 more sources

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, Ahmad Z, Shah J, Murtaza S, Albalwi MD, Ahmad H, Baili J, Yao SW.   +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.
openaire   +2 more sources

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
openaire   +1 more source