Influence of models approximating the fractional-order differential equations on the calculation accuracy

DOI10.1016/j.cnsns.2023.107807OpenAlexW4390349721MaRDI QIDQ6203018

Józef Wiora, Faisal Saleem, Karol Marciniak

Publication date: 27 February 2024

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.2023.107807

zbMATH Keywords

modeling errorsMatsuda approximationOustaloup filterCarlson approximationcontinued fraction expansion approximationmodified stability boundary locus approximation

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Numerical analysis (65-XX) Approximations and expansions (41-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• On the existence of optimal solutions to fractional optimal control problems
• Studies on fractional order differentiators and integrators: a survey
• Recent history of fractional calculus
• Fractional control of heat diffusion systems
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Averaged control for fractional ODEs and fractional diffusion equations
• Time response analysis of fractional-order control systems: A survey on recent results
• Fractional Calculus
• H(infinity) optimized wave-absorbing control - Analytical and experimental results
• A review and evaluation of numerical tools for fractional calculus and fractional order controls
• Tuning and implementation methods for fractional-order controllers

This page was built for publication: Influence of models approximating the fractional-order differential equations on the calculation accuracy