The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers
DOI10.1007/s10444-022-10009-9zbMath1505.62519arXiv2206.14280OpenAlexW4283747820MaRDI QIDQ2692791
Publication date: 23 March 2023
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.14280
Jacobi polynomialsspectral methodfractional integralhigh-precisionCaputoRiemann-LiouvilleMittag-LefflerBagley-Torvik
Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Linear integral equations (45A05)
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- High-precision computation: mathematical physics and dynamics
- Mittag-Leffler functions and their applications
- Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients
- Compact finite difference method for the fractional diffusion equation
- Fractional calculus models of complex dynamics in biological tissues
- An algorithm for the numerical solution of differential equations of fractional order
- Orthogonality of the Jacobi polynomials with negative integer parameters
- Fractional-order Legendre functions for solving fractional-order differential equations
- Multidomain spectral method for the Gauss hypergeometric function
- Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations
- Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
- The asymptotic expansion of a ratio of gamma functions
- Integer multiplication in time \(O(n\log n)\)
- Orthogonal polynomials on planar cubic curves
- Generalized Jacobi functions and their applications to fractional differential equations
- Sharp Error Bounds for Jacobi Expansions and Gegenbauer--Gauss Quadrature of Analytic Functions
- A Fast and Well-Conditioned Spectral Method
- Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- MPFR
- Faster Integer Multiplication
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- The Condition of Polynomials in Power Form
- Hybrid Finite Element--Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver
- A Fast and Spectrally Convergent Algorithm for Rational-Order Fractional Integral and Differential Equations
- Orthogonal structure on a quadratic curve
- Computing equilibrium measures with power law kernels
- Frames and Numerical Approximation
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Fractional Spectral Collocation Method
- Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
- The Condition of Orthogonal Polynomials
- Fast algorithms using orthogonal polynomials
- On the numerical computation of the Mittag-Leffler function
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