Results 61 to 70 of about 2,159,027 (204)
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
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Hyers-Ulam and Hyers-Ulam-Aoki-Rassias Stability for Linear Ordinary Differential Equations [PDF]
, 2015 Here we prove the Hyers-Ulam stability and Hyers-Ulam-Aoki-Rassias stability of the n-th order ordinary linear differential equation with smooth coefficients on compact and semi-bounded intervals using successive integration by parts ...
Mohapatra, A. N.
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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
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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
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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
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
On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla +3 more
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