A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations (Q2048448)

scientific article; zbMATH DE number 7379336

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English	A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations	scientific article; zbMATH DE number 7379336

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instance of

scholarly article

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title

A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations (English)

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Applied Numerical Mathematics

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publication date

5 August 2021

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zbMATH Keywords

Petrov-Galerkin method

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fractional-order generalized Jacobi functions

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shifted fractional Jacobi functions

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linear systems of fractional differential equations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2021.07.012

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cites work

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Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations

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Efficient generalized Laguerre-spectral methods for solving multi-term fractional differential equations on the half line

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A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients

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Modeling the pollution of a system of lakes

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Generalized Jacobi functions and their applications to fractional differential equations

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A numerical solution of variable order fractional functional differential equation based on the shifted Legendre polynomials

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A new Jacobi operational matrix: an application for solving fractional differential equations

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A new fractional collocation method for a system of multi-order fractional differential equations with variable coefficients

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An efficient formulation of Chebyshev tau method for constant coefficients systems of multi-order FDEs

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Nonpolynomial collocation approximation of solutions to fractional differential equations

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Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method

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SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

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A method for obtaining the operational matrix of fractional Jacobi functions and applications

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Fractional-order Legendre functions for solving fractional-order differential equations

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The Chebyshev wavelet method (CWM) for the numerical solution of fractional HIV infection of CD\(4^+\) T cells model

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Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems

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A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations

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An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions

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A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions

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Identifiers

zbMATH Open document ID

1472.65093

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2021.07.012

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Sitelinks

Mathematics(1 entry)

mardi Publication:2048448