Numerical calculation of the left and right fractional derivatives

DOI10.1016/j.jcp.2014.05.029zbMath1349.65090OpenAlexW1968598110MaRDI QIDQ349910

José António Tenreiro Machado

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.05.029

zbMATH Keywords

fractional calculusleft and right side derivativesnumerical calculation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical differentiation (65D25)

Related Items (6)

A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels ⋮ Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas ⋮ Fractional Order Derivative and Integral Computation with a Small Number of Discrete Input Values Using Grünwald–Letnikov Formula ⋮ Least-squares residual power series method for the time-fractional differential equations ⋮ Extended algorithms for approximating variable order fractional derivatives with applications ⋮ Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

Uses Software

• CRONE
• Fractional Order Chaotic Systems

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