Results 111 to 120 of about 107,297 (248)

Technique of Tripled Fixed Point Results on Orthogonal G‐Metric Spaces

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this article, we introduce a novel concept of orthogonal nonlinear contraction and establish some tripled fixed point theorems for this class of contractions in the framework of an orthogonal complete G‐metric space. An appropriate example demonstrates the validity of the main results, highlighting the advantages of the comparable literature.
Arul Joseph Gnanaprakasam, Gunaseelan Mani, Santosh Kumar, Qiankun Song   +3 more
wiley   +1 more source

On Hyers–Ulam–Rassias Stability of the Pexider Equation

Journal of Mathematical Analysis and Applications, 1999
AbstractIn this paper, using the idea of P. Găvruta (1994, J. Math. Anal. Appl.184, 431–436), we prove a generalization of the stability of approximately additive mappings in the spirits of Hyers, Ulam, and Rassias.
Dong-Soo Shin, Byung-Do Kim, Kil-Woung Jun   +2 more
openaire   +2 more sources

Modeling the Transmission Routes of Hepatitis E Virus as a Zoonotic Disease Using Fractional‐Order Derivative

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Hepatitis E virus (HEV) is one of the emerging zoonotic diseases in Sub‐Saharan Africa. Domestic pigs are considered to be the main reservoir for this infectious disease. A third of the world’s population is thought to have been exposed to the virus. The zoonotic transmission of the HEV raises serious zoonotic and food safety concerns for the general ...
Shaibu Osman, Binandam Stephen Lassong, Munkaila Dasumani, Ernest Yeboah Boateng, Winnie Mokeira Onsongo, Boubacar Diallo, Oluwole Daniel Makinde, Mehmet Ünver   +7 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 of the spherical functions

, 2014
In \cite{bbb} the authors obtained the Hyers-Ulam stability of the functional equation $$ \int_{K}\int_{G} f(xtk\cdot y)d (t)dk=f(x)g(y), \; x, y \in G ,$$ where $G$ is a Hausdorff locally compact topological group, $K$ is a copmact subgroup of morphisms of $G$, $ $ is a $K$-invariant complex measure with compact support, provided that the continuous
Bouikhalene, Belaid, Elhoucien, Eloqrachi   +1 more
openaire   +2 more sources

Hyers–Ulam stability of Sahoo–Riedel’s point

Applied Mathematics Letters, 2009
AbstractIn this paper, we construct a counter example to show that “Theorem” of Hyers–Ulam Stability of Flett’s Point in [M. Das, T. Riedel, P.K. Sahoo, Hyers-Ulam stability of Flett’s points, Applied Mathematics Letters. 16 (3) (2003), 269–271] is incorrect. At the same time, we give the correct theorem and generalize it.
F. Ye, S. Xu, W. Lee
openaire   +2 more sources

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

Study of implicit delay fractional differential equations under anti-periodic boundary conditions

Advances in Difference Equations, 2020
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali, Kamal Shah, Thabet Abdeljawad   +2 more
doaj   +1 more source