Results 91 to 100 of about 7,018 (204)

On the Stability of the Generalized Psi Functional Equation

Axioms, 2020
In this paper, we investigate the generalized Hyers–Ulam stability for the generalized psi functional equation f ( x + p ) = f ( x ) + φ ( x ) by the direct method in the sense of P. Gǎvruta and the Hyers–Ulam–Rassias stability.
Gwang Hui Kim, Themistocles M. Rassias
doaj   +1 more source

Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

Generalized Hyers-Ulam stability of a bi-quadratic mapping in non-Archimedean spaces

Journal of Mathematics and Computer Science, 2023
R. Kalaichelvan, U. Jayaraman, P. S. Arumugam   +2 more
semanticscholar   +1 more source

Hyers-Ulam Stability and Existence of Solutions for Nigmatullin’s Fractional Diffusion Equation

Advances in Mathematical Physics, 2017
We discuss stability of time-fractional order heat conduction equations and prove the Hyers-Ulam and generalized Hyers-Ulam-Rassias stability of time-fractional order heat conduction equations via fractional Green function involving Wright function.
Zhuoyan Gao, JinRong Wang
doaj   +1 more source

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

International Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative

Mathematics, 2019
In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential equation is established using the Laplace transform method.
Kui Liu, Michal Fečkan, D. O’Regan, JinRong Wang   +3 more
doaj   +1 more source

Generalized approximation Hyers-Ulam-Rassias type stability of generalized homomorphisms in quasi-Banach algebras

, 2022
Ly Van An
openalex   +1 more source

ON THE GENERALIZED HYERS-ULAM STABILITY FOR EULER-LAGRANGE TYPE FUNCTIONAL EQUATION [PDF]

, 2014
Abbas Zivari-Kazempour
openalex   +1 more source

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

Abstract and Applied Analysis, 2009
Lee, An and Park introduced the quadratic functional equation f(2x+y)+f(2x−y)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias.
Choonkil Park, Ji-Hye Kim
doaj   +1 more source

Generalized Additive Functional Equation: General Solution and Hyers-Ulam Stability in Banach Spaces via Alternative Fixed Point Theorem

, 2023
K. Tamilvanan, S. A. Mohiuddine
openalex   +2 more sources