Results 91 to 100 of about 107,297 (248)
Some results on a nonlinear fractional equation with nonlocal boundary condition
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13581-13600, December 2024.The aim of this paper is to derive sufficient conditions for the existence, uniqueness, and Hyers–Ulam stability of solutions to a new nonlinear fractional integro‐differential equation with functional boundary conditions, using several fixed‐point theorems, the multivariate Mittag‐Leffler function and Babenko's approach.
Chenkuan Li +4 more
wiley +1 more source
Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this work, we present a new concept of additive‐Jensen s‐functional equations, where s is a constant complex number with |s| < 1, and solve them as two classes of additive functions. We then indicate that they are C‐linear mappings on Lie algebras. Following this, we define generalized Lie bracket derivations between Lie algebras.
Vahid Keshavarz +2 more
wiley +1 more source
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
doaj +1 more source
Stability of non compact steady and expanding gradient Ricci solitons [PDF]
arXiv, 2014 We study the stability of non compact steady and expanding gradient Ricci solitons. We first show that strict linear stability implies dynamical stability. Then we give various sufficient geometric conditions ensuring the strict linear stability of such gradient Ricci solitons.
arxiv
Study of Hybrid Problems under Exponential Type Fractional‐Order Derivatives
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three‐point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third‐order Caputo–Fabrizio derivative is the fractional operator applied.
Mohammed S. Abdo +4 more
wiley +1 more source
The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability
AIMS MathematicsIn 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
On a Generalized Hyers‐Ulam Stability of Trigonometric Functional Equations [PDF]
Journal of Applied Mathematics, 2012 Let G be an Abelian group, let ℂ be the field of complex numbers, and let f, g : G → ℂ. We consider the generalized Hyers‐Ulam stability for a class of trigonometric functional inequalities, |f(x − y) − f(x)g(y) + g(x)f(y)| ≤ ψ(y), |g(x − y) − g(x)g(y) − f(x)f(y)| ≤ ψ(y), where ψ : G → ℝ is an arbitrary nonnegative function.
Chung, Jaeyoung, Chang, Jeongwook
openaire +3 more sources
Fractional Stochastic Van der Pol Oscillator with Piecewise Derivatives
Journal of Mathematics, Volume 2024, Issue 1, 2024.This work investigates piecewise Vand der Pol oscillator under the arbitrary order, piecewise derivatives, and power nonlinearities to present a novel idea of piecewise systems using the classical‐power‐law randomness and classical Mittag–Leffler‐law‐randomness.
Atul Kumar +6 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
Linear and dynamical stability of Ricci flat metrics [PDF]
arXiv, 2004 We can talk about two kinds of stability of the Ricci flow at Ricci flat metrics. One of them is a linear stability, defined with respect to Perelman's functional $\mathcal{F}$. The other one is a dynamical stability and it refers to a convergence of a Ricci flow starting at any metric in a neighbourhood of a considered Ricci flat metric.
arxiv