Results 31 to 40 of about 2,266,660 (165)

Hyers-Ulam stability of a generalized Apollonius type quadratic mapping [PDF]

open access: yes, 2006
Let X,Y be linear spaces. It is shown that if a mapping Q:X→Y satisfies the following functional equation:(0.1)Q((∑i=1nzi)−(∑i=1nxi))+Q((∑i=1nzi)−(∑i=1nyi))=12Q((∑i=1nxi)−(∑i=1nyi))+2Q((∑i=1nzi)−(∑i=1nxi)+(∑i=1nyi)2) then the mapping Q:X→Y is quadratic ...
Park, C-G   +3 more
core   +1 more source

Mathematical Modeling of Giardiasis Transmission Dynamics Using Caputo Fractional Derivative

open access: yesEngineering Reports, Volume 8, Issue 3, March 2026.
The research offers an insight into the dynamics of giardiasis transmission as well as direction to practitioners and public health authorities in developing specific intervention strategies to mitigate the negative effects of these parasitic infections on the well‐being of the population. ABSTRACT Giardia duodenalis is a protozoan parasite that causes
Joshua Kiddy K. Asamoah   +3 more
wiley   +1 more source

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

open access: yesAdvances 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   +5 more
doaj   +1 more source

Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

open access: yes, 2020
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. © 2020, University of Sistan and Baluchestan.
Rassias, J.M., Van Hoa, N., Vu, H.
core   +1 more source

Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

open access: yesFractal 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   +3 more
doaj   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS [PDF]

open access: yes, 2020
In this paper,we establish the general solution and the generalized Hyers-Ulam stability problem ...
P Hyers-Ulam Stability Of Quadratic Functional Equations…   +1 more
core  

The Hyers-Ulam-Rassias Stability of (,)(,)-Derivations on Normed Algebras [PDF]

open access: yes, 2012
We study the Hyers-Ulam-Rassias stability of (,)(,)-derivations on normed ...
Ajda Fošner
core   +1 more source

On the Well‐Posedness and Stability Analysis of Nonlinear Fractional Integrodifferential Equations Subject to Integral Boundary Constraints

open access: yesAbstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear fractional integrodifferential equations (NLFIDEs) with nonlocal boundary conditions in Banach algebras. By employing advanced analytical techniques within the Banach algebra framework, we rigorously establish existence and uniqueness results and ...
Yahia Awad   +4 more
wiley   +1 more source

Ulam-Hyers stability of a parabolic partial differential equation

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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