Results 71 to 80 of about 5,005 (128)

Ulam-Hyers stability of tuberculosis and COVID-19 co-infection model under Atangana-Baleanu fractal-fractional operator. [PDF]

Sci Rep, 2023
Selvam A, Sabarinathan S, Senthil Kumar BV, Byeon H, Guedri K, Eldin SM, Khan MI, Govindan V.   +7 more
europepmc   +1 more source

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

Complexity, 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

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

Fractal 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, Süleyman Öğrekçi, Tania A. Lazăr, Vasile L. Lazăr   +3 more
doaj   +1 more source

On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions

AIMS Mathematics
In this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point ...
Ugyen Samdrup Tshering, Ekkarath Thailert, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

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

Open 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, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

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

Journal 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  

A discrete logistic model with conditional Hyers–Ulam stability

AIMS Mathematics
This study investigates the conditional Hyers–Ulam stability of a first-order nonlinear $ h $-difference equation, specifically a discrete logistic model. Identifying bounds on both the relative size of the perturbation and the initial population size is
Douglas R. Anderson, Masakazu Onitsuka
doaj   +1 more source

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

International 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

Utilizing fractional-order operator to Alzheimer's disease dynamics. [PDF]

Sci Rep
Nisar KS, Farman M.
europepmc   +1 more source