Solutions of Circuits with Fractional, Nonlinear Elements by Means of a SubIval Solver

DOI10.1007/978-3-319-78458-8_19zbMath1447.94071OpenAlexW2793386798MaRDI QIDQ5195096

Marcin Sowa

Publication date: 18 September 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-78458-8_19

zbMATH Keywords

numerical methodnonlinearintegrodifferential equationsfractional derivativecircuit analysisSubIval

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Analytic circuit theory (94C05)

Related Items

Using Fractional Calculus in an Attempt at Modeling a High Frequency AC Exciter

Uses Software

• Heat Conduction Toolbox
• Fractional Heat Conduction Toolbox
• SubIval

Cites Work

• Solving the time-fractional diffusion equation via sinc-Haar collocation method
• Heat conduction modeling by using fractional-order derivatives
• Fractional linear systems and electrical circuits
• On Riemann and Caputo fractional differences
• Quadratic spline collocation method for the time fractional subdiffusion equation
• Compact finite difference method for the fractional diffusion equation
• Numerical methods for fourth-order fractional integro-differential equations
• Space-time fractional diffusion-advection equation with Caputo derivative
• Application of subival in solving initial value problems with fractional derivatives
• Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
• Cayley–Hamilton Theorem for Fractional Linear Systems
• Reconstruction Robin Boundary Condition in the Heat Conduction Inverse Problem of Fractional Order
• Accuracy Estimation of Digital Fractional Order PID Controller
• Analysis of Performance Indicators for Tuning Non-integer Order Controllers
• Stability Analysis for the New Model of Fractional Discrete-Time Linear State-Space Systems
• Implementation of Bi-fractional Filtering on the Arduino Uno Hardware Platform
• Fractional Prabhakar Derivative and Applications in Anomalous Dielectrics: A Numerical Approach
• A Discrete-Time Fractional Order PI Controller for a Three Phase Synchronous Motor Using an Optimal Loop Shaping Approach
• A New Approach to Generalized Fractional Derivatives