Results 41 to 50 of about 8,350 (261)

Ulam-Hyers stability of a parabolic partial differential equation

Demonstratio Mathematica, 2019
The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

Ulam-Hyers stabilities of fractional functional differential equations

AIMS Mathematics, 2020
From the first results on Ulam-Hyers stability, what has been noted is the exponential growth of the researchers dedicated to investigating Ulam-Hyers stability of fractional differential equation solutions whether they are functional, evolution ...
J. Vanterler da C. Sousa, E. Capelas de Oliveira, F. G. Rodrigues   +2 more
doaj   +1 more source

Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations

Journal of Mathematical Inequalities, 2021
The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of first order with constant coefficients using the Mahgoub transform method.
Soon-Mo Jung, P. S. Arumugam, Murali Ramdoss   +2 more
semanticscholar   +1 more source

Hyers–Ulam stability of derivations and linear functions [PDF]

Aequationes mathematicae, 2010
9 pages; published in Aequationes Mathematicae in ...
Boros, Zoltán, Gselmann, Eszter
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

On the asymptoticity aspect of Hyers-Ulam stability of mappings [PDF]

Proceedings of the American Mathematical Society, 1998
The object of the present paper is to prove an asymptotic analogue of Th. M. Rassias’ theorem obtained in 1978 for the Hyers-Ulam stability of mappings.
Themistocles M. Rassias, George Isac, Donald H Hyers   +2 more
openaire   +1 more source

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

Advances in Difference Equations, 2017
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
doaj   +1 more source

Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]

Mathematica Bohemica, 2017
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
doaj   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Manzoor Ahmad, A. Zada, J. Alzabut
semanticscholar   +1 more source

The Hyers–Ulam stability of nonlinear recurrences

Journal of Mathematical Analysis and Applications, 2007
We show some Hyers–Ulam type stability results for some nonlinear recurrences in metric spaces.
Janusz Brzdęk, Dorian Popa, Bing Xu
openaire   +2 more sources