Application of SubIval, a Method for Fractional-Order Derivative Computations in IVPs

DOI10.1007/978-3-319-45474-0_43OpenAlexW2517391532MaRDI QIDQ5237016

Marcin Sowa

Publication date: 16 October 2019

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

Full work available at URL: https://doi.org/10.1007/978-3-319-45474-0_43

zbMATH Keywords

fractional calculusintegrodifferential equationsnumerical analysiscircuit analysis

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (2)

Application of subival in solving initial value problems with fractional derivatives ⋮ Using Fractional Calculus in an Attempt at Modeling a High Frequency AC Exciter

Uses Software

• Mittag-Leffler
• mlf
• SubIval

Cites Work

• Analysis of the transient state in a series circuit of the class \(RL_\beta C_\alpha\)
• Solution of fractional integro-differential equations by using fractional differential transform method
• Approximate solution of fractional integro-differential equations by Taylor expansion method
• On Riemann and Caputo fractional differences
• Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
• Compact finite difference method for the fractional diffusion equation
• Numerical methods for fourth-order fractional integro-differential equations
• Fast solution methods for space-fractional diffusion equations
• Numerical solution of fractional integro-differential equations by collocation method
• Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
• Fractional-Order Three-Dimensional <formula formulatype="inline"><tex Notation="TeX">$\nabla\times n$</tex> </formula> Circuit Network
• A New Approach to Generalized Fractional Derivatives

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