Results 91 to 100 of about 2,732 (205)

Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami   +4 more
wiley   +1 more source

A New Approach to the Study of the Existence and Uniqueness of Mild Solutions for an Evolving System by Using Fractional Derivatives in the Deformable Sense

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this work, we study the existence and uniqueness of mild solutions for linear and semilinear control systems using the new deformable fractional derivative. The results have been obtained and presented using the deformable Laplace transform and its inverse, as well as the theory of semigroups and a rigorous application of Banach’s fixed‐point ...
Boulkhairy Sy   +3 more
wiley   +1 more source

Hyers- Ulam Rassias Stability of Exponential Primitive Mapping

open access: yes, 2013
The aim of this paper is to prove  the stability of  Exponential Primitive Mapping in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
core   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability for a class of integro-differential equations [PDF]

open access: yes, 2018
We analyse different kinds of stabilities for a class of very general nonlinear integro-differential equations of Volterra type within appropriate metric spaces.
L. P. Castro   +3 more
core   +1 more source

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

open access: yes, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator ...
Yao Ying, An Guangyu
core   +1 more source

On the Stability of Nonautonomous Linear Impulsive Differential Equations

open access: yesJournal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

Hyers- Ulam Rassias Stability of multiplicative Cauchy equation

open access: yes, 2015
The aim of this  paper is to prove  the stability of  multiplicative equation  in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, multiplicative equation AMS Subject Classification (1991).
Shrivastava, Kavita
core   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

open access: yes, 2017
The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein ...
L. P. Castro   +3 more
core   +1 more source

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

open access: yesInternational Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

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