Results 51 to 60 of about 8,350 (261)

On a modified Hyers‐Ulam stability of homogeneous equation [PDF]

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable conditions, there exists a unique mapping T satisfying T(yx) = ytT(x) and ‖T(x) − f(x)‖ ≤ Φ(x).
openaire   +3 more sources

Hyers-Ulam Stability of Nonlinear Integral Equation [PDF]

Fixed Point Theory and Applications, 2010
AbstractWe will apply the successive approximation method for proving the Hyers-Ulam stability of a nonlinear integral equation.
Mortaza Gachpazan, Omid Baghani
openaire   +4 more sources

Existence of positive solution and Hyers–Ulam stability for a nonlinear singular-delay-fractional differential equation

Advances in Differential Equations, 2019
In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To proceed, we use classical fixed point theorem
H. Khan, T. Abdeljawad, Muhammad Aslam, R. Khan, Aziz Khan   +4 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
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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.
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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

Spectral characterizations for Hyers-Ulam stability

Electronic Journal of Qualitative Theory of Differential Equations, 2014
First we prove that an $n\times n$ complex linear system is Hyers-Ulam stable if and only if it is dichotomic (i.e. its associated matrix has no eigenvalues on the imaginary axis $i\mathbb{R}$). Also we show that the scalar differential equation of order $n,$ \[\begin{split} x^{(n)}(t)=a_1x^{(n-1)}(t)+\ldots+a_{n-1}{x}'(t)+a_nx(t),\quad t\in\mathbb{R}_+
Buse, C., Saierli, Olivia, Tabassum, Afshan   +2 more
openaire   +3 more sources

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