Lucas polynomials semi-analytic solution for fractional multi-term initial value problems (Q2141971)

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English	Lucas polynomials semi-analytic solution for fractional multi-term initial value problems	scientific article

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instance of

scholarly article

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title

Lucas polynomials semi-analytic solution for fractional multi-term initial value problems (English)

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Advances in Difference Equations

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publication date

25 May 2022

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zbMATH Keywords

Caputo derivative

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fractional differential equations

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spectral methods

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generalized Lucas polynomials

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1186/s13662-019-2402-z

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cites work

FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

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Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation

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Variational iteration method for the time-fractional Fornberg-Whitham equation

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Fractional variational iteration method for solving fractional partial differential equations with proportional delay

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Analytical solution of the linear fractional differential equation by Adomian decomposition method

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Solution of an extraordinary differential equation by Adomian decomposition method

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New spectral second kind Chebyshev wavelets scheme for solving systems of integro-differential equations

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

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Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials

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On shifted Jacobi spectral approximations for solving fractional differential equations

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Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations

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Numerical solution of differential eigenvalue problems with an operational approach to the Tau method

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Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method

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On an accurate discretization of a variable-order fractional reaction-diffusion equation

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On the accurate discretization of a highly nonlinear boundary value problem

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Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation

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Modified Galerkin algorithm for solving multitype 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 Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

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Collocation methods for fractional differential equations involving non-singular kernel

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A numerical method for solving boundary value problems for fractional differential equations

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Q3141902

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Q3267566

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Generalized Lucas polynomial sequence approach for fractional differential equations

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Solving two-point boundary value problems using combined homotopy perturbation method and Green's function method

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Identifiers

zbMATH Open document ID

1487.34031

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Mathematics Subject Classification ID

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10.1186/S13662-019-2402-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2141971