Results 61 to 70 of about 2,274,949 (199)
Fractal 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
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Abstract 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
HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS [PDF]
, 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
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The Hyers-Ulam-Rassias Stability of (,)(,)-Derivations on Normed Algebras [PDF]
, 2012 We study the Hyers-Ulam-Rassias stability of (,)(,)-derivations on normed ...
Ajda Fošner
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Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio 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
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Journal of Mathematics, 2023 This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,∞,a≥0, in an applicable Banach space by utilizing the Banach ...
Sabri T. M. Thabet, Imed Kedim
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Generalized Ulam’s Stability of Delayed Discrete System With Second‐Order Differences
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This work explores generalized Ulam‐type stability for a family of time‐lag discrete systems governed by two‐order difference operators. First and foremost, we put forward strict mathematical formulations of Hyers–Ulam‐based generalized stability adapted to the above‐mentioned two‐order time‐delay discrete frameworks, which expand existing stability ...
Maosong Yang +3 more
wiley +1 more source
Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type [PDF]
Differential Equations & Applications, 2017 Summary: The aim of this paper is to give some Ulam-Hyers-Rassias stability results for Volterra-type stochastic integral equations. The argument makes use of Gronwall lemma and Banach's fixed point theorem.
openaire +2 more sources
Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 more
wiley +1 more source
On Approximations of a System of Functional Equations Having Monomials
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We use an s‐monomial to define the multimonomial mappings as a system of functional equations having monomials. The main contribution of the paper is twofold. First, we give a representation of such new multiple variable mappings as a unified equation, thereby providing a complete characterization.
Siriluk Donganont +2 more
wiley +1 more source