Benchmark problems for Caputo fractional-order ordinary differential equations

DOI10.1515/fca-2017-0068zbMath1377.65086OpenAlexW2767867879MaRDI QIDQ1677980

Lu Bai, Dingyu Xue

Publication date: 14 November 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2017-0068

zbMATH Keywords

algorithmsimulationfractional calculusbenchmark problemCaputo differential equationfractional-order ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items (4)

Numerical solution of fractional differential equations: a survey and a software tutorial ⋮ Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation ⋮ A numerical study on fractional differential equation with population growth model ⋮ A semi-analytic method for fractional-order ordinary differential equations: testing results

Uses Software

• FOTF Toolbox
• ma2dfc
• Fractional Order Chaotic Systems

Cites Work

• Unnamed Item
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• Discretized Fractional Calculus
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• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• On the Stability of Linear Multistep Methods for Volterra Convolution Equations
• Fractional-Order Control Systems
• Numerical algorithms for Caputo fractional-order differential equations
• High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.

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