Approximating fractional derivatives through the generalized mean

DOI10.1016/j.cnsns.2009.03.004zbMath1221.26012OpenAlexW2094368812MaRDI QIDQ718006

József K. Tar, Alexandra M. Galhano, Anabela M. Oliveira, José António Tenreiro Machado

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.22/4309

zbMATH Keywords

fractional derivativesfractional calculusaveragegeneralized mean

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (10)

Multivariate generalized information entropy of financial time series ⋮ Complexity analysis of time series based on generalized fractional order cumulative residual distribution entropy ⋮ Multidimensional scaling analysis of fractional systems ⋮ Root locus of fractional linear systems ⋮ Optimal controllers with complex order derivatives ⋮ Fractional dynamics of computer virus propagation ⋮ Complexity Analysis of Time Series Based on Generalized Fractional Order Refined Composite Multiscale Dispersion Entropy ⋮ Fractional order junctions ⋮ Multiscale fractional-order approximate entropy analysis of financial time series based on the cumulative distribution matrix ⋮ Analysis of time series through complexity-entropy curves based on generalized fractional entropy

Uses Software

• CRONE

Cites Work

• Approximating fractional derivatives in the perspective of system control
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• A new IIR-type digital fractional order differentiator
• Time domain design of fractional differintegrators using least-squares
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Two direct Tustin discretization methods for fractional-order differentiator/integrator.
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Axiomatisations of the average and a further generalisation of monotonic sequences
• Fractional Calculus
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Discretization schemes for fractional-order differentiators and integrators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximating fractional derivatives through the generalized mean