Results 81 to 90 of about 104,225 (211)

Fractional Derivative Technique for Modeling the Dynamics of Social Media Impacts

Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
The advent of social media (SM) platforms has transformed communications, information dissemination, and interpersonal relationships on a global scale. As SM continues to evolve and proliferate, its impact on various aspects of society has become increasingly complex and multifaceted.
Munkaila Dasumani, Binandam S. Lassong, Isaac K. Adu, Fredrick A. Wireko, Stephen E. Moore, Jesus Manuel Munoz-Pacheco   +5 more
wiley   +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

Satbility of Ternary Homomorphisms via Generalized Jensen Equation

, 2005
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal, Szekelyhidi, Laszlo   +1 more
core   +2 more sources

Problem Involving the Riemann–Liouville Derivative and Implicit Variable‐Order Nonlinear Fractional Differential Equations

Complexity, Volume 2024, Issue 1, 2024.
The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a ...
Zoubida Bouazza, Mohammed Said Souid, Hatıra Günerhan, Ali Shokri, Eulalia Mart nez   +4 more
wiley   +1 more source

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

Improved Stability and Instability Results for Neutral Integro‐Differential Equations including Infinite Delay

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, we consider nonlinear neutral Volterra integro‐differential equations (NVIDEs) including infinite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVIDEs.
Cemil Tunç, Fahir Talay Akyildiz, Valerii Obukhovskii   +2 more
wiley   +1 more source

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

Fractal and Fractional
This article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady, Süleyman Öğrekçi, Tania A. Lazăr, Vasile L. Lazăr   +3 more
doaj   +1 more source

On the stability of harmonic maps under the homogeneous Ricci flow [PDF]

arXiv, 2017
In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow. We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not preserve the stability of an harmonic map.
arxiv  

Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems [PDF]

, 2019
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov
Blouhi, Tayeb, Boudaoui, Ahmed, Caraballo Garrido, Tomás   +2 more
core  

Stability Results for a Class of Fractional Itô–Doob Stochastic Integral Equations

Complexity, Volume 2024, Issue 1, 2024.
In this paper, we study the Hyers–Ulam stability of Hadamard fractional Itô–Doob stochastic integral equations by using the Banach fixed point method and some mathematical inequalities. Finally, we exhibit three theoretical examples to apply our theory.
Omar Kahouli, Ali Aloui, Lassaad Mchiri, Abdellatif Ben Makhlouf, Daniel Maria Busiello   +4 more
wiley   +1 more source