Results 71 to 80 of about 4,875 (127)

Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

open access: yesComplexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
doaj   +1 more source

A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations

open access: yesMathematics, 2020
In this paper, we study Hyers–Ulam and Hyers–Ulam–Rassias stability of nonlinear Caputo–Fabrizio fractional differential equations on a noncompact interval. We extend the corresponding uniqueness and stability results on a compact interval.
Kui Liu, Michal Fečkan, JinRong Wang
doaj   +1 more source

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

open access: yesFractal and Fractional
This article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady   +3 more
doaj   +1 more source

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

open access: yesOpen Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela   +2 more
doaj   +1 more source

On the Stability of a Cubic Functional Equation in Random Normed Spaces

open access: yesJournal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order

open access: yesInternational Journal of Analysis and Applications, 2013
This paper considers the stability of nonlinear differential equations of nth order in the sense of Hyers and Ulam. It also considers the Hyers-Ulam stability for superlinear Emden-Fowler differential equation of nth order. Some illustrative examples are
Maher Nazmi Qarawani
doaj   +2 more sources

On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays

open access: yesArab Journal of Basic and Applied Sciences
This article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
doaj   +1 more source

Existence and stability results for a coupled multi-term Caputo fractional differential equations

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering
In this article, we explore a new class of nonlocal boundary value problems defined by coupled multi-term delay Caputo fractional differential equations along with a multipoint-integral boundary problem.
Gunaseelan Mani   +4 more
doaj   +1 more source

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