Results 51 to 60 of about 1,516 (136)
Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses
Communications in Advanced Mathematical Sciences, 2023 This paper deals with the existence, uniqueness, and Ulam-stability outcomes for $\Xi$-Hilfer fractional fuzzy differential equations with impulse.
Kangarajan K. +3 more
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley +1 more source
Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Advances in Difference Equations, 2018 This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan +3 more
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Mathematics, 2021 In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
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The Growing Threat of Flooding on Transportation Infrastructure Across Texas Through 2100
Earth's Future, Volume 14, Issue 6, June 2026.Abstract Flooding poses an escalating threat to transportation resilience, yet existing regulatory hazard maps often suffer from incomplete coverage and rely on static historical data, leaving vast infrastructure networks exposed to unquantified risks. We bridge this gap for Texas—a hydro‐geomorphologically diverse state with aging infrastructure—under
Rakibul Ahasan +3 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
Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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Hyers‐Ulam Stability of Power Series Equations [PDF]
Abstract and Applied Analysis, 2011 We prove the Hyers‐Ulam stability of power series equation , whereanforn= 0, 1, 2, 3, … can be real or complex.
Bidkham, M. +2 more
openaire +4 more sources
Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics
Advanced Science, Volume 13, Issue 25, 4 May 2026.Weak nonlinearities critically shape the long term behavior of oscillatory systems but are difficult to identify from data. A data‐driven framework is introduced to infer governing equations of weakly nonlinear oscillators from sparse and noisy observations.
Teng Ma +5 more
wiley +1 more source
Hyers--Ulam stability of a polynomial equation
Banach Journal of Mathematical Analysis, 2009 The authors prove a Hyers-Ulam type stability result for the polynomial equation \(x^n + \alpha x + \beta = 0\). In particular, using Banach's contraction mapping theorem, they prove the following result: If \( |\alpha | > n\), \(|\beta | < |\alpha|-1\) and \(y \in [-1, 1]\) satisfies the inequality \[ |y^n + \alpha y + \beta | \leq \varepsilon \] for ...
Li, Yongjin, Hua, Liubin
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