Results 61 to 70 of about 11,444 (271)

Existence theorems and Hyers-Ulam stability for a class of Hybrid fractional differential equations with $p$-Laplacian operator

, 2018
In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with p-Laplacian operator.
H. Khan, C. Tunç, Wen Chen, Aziz Khan
semanticscholar   +1 more source

On Generalized Hyers‐Ulam Stability of Admissible Functions [PDF]

Abstract and Applied Analysis, 2012
We consider the Hyers‐Ulam stability for the following fractional differential equations in sense of Srivastava‐Owa fractional operators (derivative and integral) defined in the unit disk: , in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed, and applications are illustrated.
openaire   +4 more sources

Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on Time Scales

Iranian Journal of Mathematical Sciences and Informatics, 2022
. This manuscript presents Hyers–Ulam stability and Hyers– Ulam–Rassias stability results of non–linear Volterra integro–delay dynamic system on time scales with fractional integrable impulses.
S. O. Shah, A. Zada
semanticscholar   +1 more source

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

Journal of Mathematics, 2021
In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi, Nasrin Eghbali, Hassen Aydi   +2 more
doaj   +1 more source

On Hyers–Ulam stability of a multi-order boundary value problems via Riemann–Liouville derivatives and integrals

, 2020
In this research paper, we introduce a general structure of a fractional boundary value problem in which a 2-term fractional differential equation has a fractional bi-order setting of Riemann–Liouville type.
Salim Ben Chikh, A. Amara, S. Etemad, S. Rezapour   +3 more
semanticscholar   +1 more source

Hyers-Ulam stability of isometries on bounded domains [PDF]

Open Mathematics, 2021
Abstract More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of R
openaire   +4 more sources

Controllability and Hyers-Ulam stability results of initial value problems for fractional differential equations via generalized proportional-Caputo fractional derivative

Miskolc Mathematical Notes, 2021
. This paper concerns the investigation of controllability and Hyers-Ulam stability of initial value problems for fractional differential equations via generalized proportional-Caputo fractional derivatives.
M. Abbas
semanticscholar   +1 more source

Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

Journal of Function Spaces, 2014
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
doaj   +1 more source

Ulam stability of linear differential equations using Fourier transform

AIMS Mathematics, 2020
The purpose of this paper is to study the Hyers-Ulam stability and generalized HyersUlam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method.
Murali Ramdoss, Ponmana Selvan-Arumugam, Choonkil Park   +2 more
doaj   +1 more source

Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

Fractal and Fractional, 2023
We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov, Mariyan Milev, Magdalena Veselinova, Andrey Zahariev   +3 more
doaj   +1 more source