Results 21 to 30 of about 4,875 (127)

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

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

Nonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A., Kalvandi Vida, Eghbali Nasrin, Samei Mohammad Esmael, Siri Zailan, Martínez Francisco   +5 more
doaj   +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

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

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

Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations

Advances in Difference Equations, 2021
In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan, Thabet Abdeljawad, Kamal Shah, Gohar Ali, Hasib Khan, Aziz Khan   +5 more
doaj   +1 more source

Stability of Partial Differential Equations by Mahgoub Transform Method

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
doaj   +1 more source

Satbility of Ternary Homomorphisms via Generalized Jensen Equation

, 2005
In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal, Szekelyhidi, Laszlo   +1 more
core   +2 more sources

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

Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

Mathematics
In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah, Rabiaa Aouafi, Said Kouachi   +2 more
doaj   +1 more source