Results 91 to 100 of about 6,523 (220)

The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability

AIMS Mathematics
In this paper, we investigated the Hyers–Ulam stability of the coefficient multipliers on the Hardy space $ H^2 $ and the Dirichlet space $ \mathcal{D}^2 $.
Chun Wang
doaj   +1 more source

A New Approach to the Study of the Existence and Uniqueness of Mild Solutions for an Evolving System by Using Fractional Derivatives in the Deformable Sense

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this work, we study the existence and uniqueness of mild solutions for linear and semilinear control systems using the new deformable fractional derivative. The results have been obtained and presented using the deformable Laplace transform and its inverse, as well as the theory of semigroups and a rigorous application of Banach’s fixed‐point ...
Boulkhairy Sy, Abass Sow, Cheikh Seck, Birendra Nath Mandal   +3 more
wiley   +1 more source

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Ulam-Hyers stability of fractional impulsive differential equations

Journal of Nonlinear Sciences and Applications, 2018
Summary: In this paper, we first prove the existence and uniqueness for a fractional differential equation with time delay and finite impulses on a compact interval. Secondly, Ulam-Hyers stability of the equation is established by Picard operator and abstract Gronwall's inequality.
openaire   +2 more sources

Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

, 2020
Summary: In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.
Vu, H., Rassias, J.M., Van Hoa, N.
openaire   +2 more sources

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

Fractional differential equations: Ulam-Hyers stabilities

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2021
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
openaire   +2 more sources

Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

Applied Mathematics Letters, 2018
Using the $ -$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
openaire   +2 more sources

Hyers–Ulam Stability Results for a Functional Inequality of s , t -Type in Banach Spaces [PDF]

, 2022
Raweerote Suparatulatorn, Tanadon Chaobankoh   +1 more
openalex   +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