Two methods for studying the response and the reliability of a fractional stochastic dynamical system

DOI10.1016/j.cnsns.2023.107144OpenAlexW4319304500MaRDI QIDQ2700206

Yu Guan, Natasa Trisovic, Wei Li, Dong-Mei Huang

Publication date: 20 April 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107144

zbMATH Keywords

stochastic averaging methodreliability functionfractional derivativedata-driven artificial neural network

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

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Cites Work

• Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
• From one dimensional diffusions to symmetric Markov processes
• A steepest descent method for vector optimization
• Sequential convergence of AdaGrad algorithm for smooth convex optimization
• An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis
• Dynamic characteristics for a hydro-turbine governing system with viscoelastic materials described by fractional calculus
• Bifurcation analysis of a noisy vibro-impact oscillator with two kinds of fractional derivative elements
• Solving Fokker-Planck equation using deep learning