Comparison of Fractional Order Derivatives Computational Accuracy - Right Hand vs Left Hand Definition
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Publication:4597699
DOI10.21042/AMNS.2017.1.00020zbMath1379.65015OpenAlexW2736082622MaRDI QIDQ4597699
Publication date: 14 December 2017
Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21042/amns.2017.1.00020
fractional calculusCaputoRiemann-Liouvilleaccuracy of computationnumerical fractional order differentiation and integration
Fractional derivatives and integrals (26A33) Numerical differentiation (65D25) Numerical integration (65D30)
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Cites Work
- Unnamed Item
- Numerical calculations accuracy comparison of the inverse Laplace transform algorithms for solutions of fractional order differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula
- Handbook of Floating-Point Arithmetic
- Boundary value problems for fractional differential equation with causal operators
- Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas
- A Comparison between Integer and Fractional Order PD μ Controllers for Vibration Suppression
- Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
- Generation of Coulomb Wave Functions by Means of Recurrence Relations
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