Results 61 to 70 of about 2,274,963 (193)
Hyers–Ulam stability and discrete dichotomy
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Dorel Barbu +2 more
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On stability for nonlinear implicit fractional differential equations
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
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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Abstract The representation of low clouds and precipitation remains a major source of uncertainty in Earth System Models (ESMs), particularly due to challenges in representing their sub‐grid variability and scale‐dependent sampling. This study evaluates the performance of preliminary simulations from the Large‐Eddy Simulation (LES) Atmospheric ...
Jiakun Liang +6 more
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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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Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
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Ulam’s Type Stability of a Discrete Matrix Equation with Second-Order Difference and Single Delay
In this paper, we investigate the Ulam stability problem for a second-order discrete matrix difference equation with a single delay. The primary aim of this work is to establish rigorous Ulam-type stability criteria for this class of delayed matrix ...
Maosong Yang +3 more
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Power‐efficient Monte Carlo modeling of nonlinear light–matter interactions in turbid media is demonstrated using Apple Silicon–accelerated photon transport. The Metal‐base framework enables accurate simulation of spontaneous and stimulated Raman scattering, revealing detection‐dependent SRS efficiency while providing a scalable, energy‐efficient ...
Ilya Vladyko +2 more
wiley +1 more source
Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
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
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Hyers–Ulam stability of zeros of polynomials
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