Fractional Order Derivative and Integral Computation with a Small Number of Discrete Input Values Using Grünwald–Letnikov Formula
From MaRDI portal
Publication:5111955
DOI10.1142/S0219876219400061OpenAlexW2915149178MaRDI QIDQ5111955
Publication date: 27 May 2020
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876219400061
numerical methodsfinite differencesdiscrete functionsarbitrary precisionaccuracy of numerical calculationsfractional order derivatives and integrals
Related Items
Uncertain Response Analysis of Fractionally-Damped Beams Based on Interval Process Model, Closed-form analytical formulation for Riemann-Liouville-based fractional-order digital differentiator using fractional sample delay interpolation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- What is a fractional derivative?
- Numerical calculation of the left and right fractional derivatives
- Fractional calculus for scientists and engineers.
- Inside interesting integrals (with an introduction to contour integration). A collection of sneaky tricks, sly substitutions, and numerous other stupendously clever, awesomely wicked, and devilishly seductive maneuvers for computing nearly 200 perplexing definite integrals from physics, engineering, and mathematics (plus 60 challenge problems with complete, detailed solutions)
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- 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
- Second order accuracy finite difference methods for space-fractional partial differential equations
- An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index
- Fractional Central Differences and Derivatives
- Fractional Positive Continuous-Time Linear Systems and Their Reachability
- Handbook of Floating-Point Arithmetic
- A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations
- Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas
- Comparison of Fractional Order Derivatives Computational Accuracy - Right Hand vs Left Hand Definition
- Numerical Solution of Diffusion and Reaction–Diffusion Partial Integro-Differential Equations
- Fractional differentiation matrices with applications
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Fractional Calculus