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Fractional-order Legendre-collocation method for solving fractional initial value problems - MaRDI portal

Fractional-order Legendre-collocation method for solving fractional initial value problems (Q2423036)

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Language	Label	Description	Also known as
English	Fractional-order Legendre-collocation method for solving fractional initial value problems	scientific article

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scholarly article

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Fractional-order Legendre-collocation method for solving fractional initial value problems (English)

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Qasem M. Al-Mdallal

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Ahmed S. Abu Omer

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Applied Mathematics and Computation

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publication date

21 June 2019

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zbMATH Keywords

Caputo derivative

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spectral methods

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fractional Legendre functions

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collocation method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2017.10.012

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A new dissipation model based on memory mechanism

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A general formulation and solution scheme for fractional optimal control problems

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A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials

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On fractional calculus and fractional multipoles in electromagnetism

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Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames

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Mathematical modeling of time fractional reaction-diffusion systems

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A convergent algorithm for solving higher-order nonlinear fractional boundary value problems

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

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

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The Legendre wavelet method for solving fractional differential equations

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Fractional Sturm-Liouville problem

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A new Legendre spectral Galerkin and pseudo-spectral approximations for fractional initial value problems

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Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions

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Tau-path following method for solving the Riccati equation with fractional order

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Solving fractional diffusion equation via the collocation method based on fractional Legendre functions

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Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order

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A review of operational matrices and spectral techniques for fractional calculus

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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A reproducing kernel method for solving nonlocal fractional boundary value problems

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Monotone iterative sequences for nonlinear integro-differential equations of second order

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An efficient algorithm for solving higher-order fractional Sturm-Liouville eigenvalue problems

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Identifiers

zbMATH Open document ID

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10.1016/j.amc.2017.10.012

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2423036

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