A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives
DOI10.1016/j.chaos.2017.04.034zbMath1422.65057arXiv1704.05690OpenAlexW2607354467WikidataQ57650444 ScholiaQ57650444MaRDI QIDQ1677782
A. R. Vahidi, Salman Jahanshahi, Delfim F. M. Torres, Esmail Babolian
Publication date: 13 November 2017
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05690
fractional derivativesfractional differential equationsfractional integralsfractional variational calculusGauss-Jacobi quadrature rule
Fractional derivatives and integrals (26A33) Numerical quadrature and cubature formulas (65D32) Optimality conditions for free problems in one independent variable (49K05)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gauss-Jacobi-type quadrature rules for fractional directional integrals
- Approximation of fractional integrals by means of derivatives
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Chua's circuit model with Atangana-Baleanu derivative with fractional order
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- The Hahn quantum variational calculus
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Accurate computation of weights in classical Gauss-Christoffel quadrature rules
- Computational algorithms for computing the fractional derivatives of functions
- Numerical algorithm for the time fractional Fokker-Planck equation
- Existence of solution for a boundary value problem of fractional order
- Algorithms for the fractional calculus: a selection of numerical methods
- Spectral approximations to the fractional integral and derivative
- $\mathcal{O}(1)$ Computation of Legendre Polynomials and Gauss--Legendre Nodes and Weights for Parallel Computing
- Uniform approximation of fractional derivatives and integrals with application to fractional differential equations
- Spectral Methods
- Numerical approximations of fractional derivatives with applications
- A Fast Algorithm for the Calculation of the Roots of Special Functions
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- On Computing the Points and Weights for Gauss--Legendre Quadrature
- Computational Methods in the Fractional Calculus of Variations
- Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
- Calculation of Gauss Quadrature Rules
This page was built for publication: A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives
