Discretization algorithm for fractional order integral by Haar wavelet approximation

DOI10.1016/j.amc.2011.07.003zbMath1231.65061OpenAlexW1993152552MaRDI QIDQ654663

Zhe Gao, Xiaozhong Liao

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.003

zbMATH Keywords

Riemanniterative methodHaar waveletfractional order calculusfractional order PID controllerdiscretization algorithmLiouville fractional order integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

A novel class of fractionally orthogonal quasi-polynomials and new fractional quadrature formulas ⋮ A comparative study for fractional chemical kinetics and carbon dioxide CO\(_2\) absorbed into phenyl glycidyl ether problems ⋮ Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems ⋮ Haar wavelet-quasilinearization technique for fractional nonlinear differential equations ⋮ Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using Fractional-order PD-based Feedback Control scheme ⋮ Haar wavelet operational matrix method for system of fractional nonlinear differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• Solving fractional integral equations by the Haar wavelet method
• Design of FIR and IIR fractional order simpson digital integrators
• Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems
• Time domain design of fractional differintegrators using least-squares
• An approximate method for numerical solution of fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solving linear integro-differential equations system by using rationalized Haar functions method
• A numerical method for fractional integral with applications
• On a numerical scheme for solving differential equations of fractional order
• Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
• Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Discretization schemes for fractional-order differentiators and integrators

This page was built for publication: Discretization algorithm for fractional order integral by Haar wavelet approximation