$A Chebyshev pseudo spectral method for solving fractional differential equations$
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A Chebyshev pseudo spectral method for solving fractional differential equations

Abstract: The Chebyshev pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the Chebyshev pseudo-spectral differentiation matrix of fractional order is derived. T...

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Autores principales:	Yazdani,AllahBakhsh, Kiasari,Morteza Mohammadnezhad
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Caputo derivative Fractional differential equations Chebyshev pseudo-spectral method
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300711
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spelling	oai:scielo:S0716-091720200003007112020-06-17A Chebyshev pseudo spectral method for solving fractional differential equationsYazdani,AllahBakhshKiasari,Morteza Mohammadnezhad Caputo derivative Fractional differential equations Chebyshev pseudo-spectral method Abstract: The Chebyshev pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the Chebyshev pseudo-spectral differentiation matrix of fractional order is derived. Then, by using Chebyshev pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.3 20202020-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300711en10.22199/issn.0717-6279-2020-03-0044
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Caputo derivative Fractional differential equations Chebyshev pseudo-spectral method
spellingShingle	Caputo derivative Fractional differential equations Chebyshev pseudo-spectral method Yazdani,AllahBakhsh Kiasari,Morteza Mohammadnezhad A Chebyshev pseudo spectral method for solving fractional differential equations
description	Abstract: The Chebyshev pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the Chebyshev pseudo-spectral differentiation matrix of fractional order is derived. Then, by using Chebyshev pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations.
author	Yazdani,AllahBakhsh Kiasari,Morteza Mohammadnezhad
author_facet	Yazdani,AllahBakhsh Kiasari,Morteza Mohammadnezhad
author_sort	Yazdani,AllahBakhsh
title	A Chebyshev pseudo spectral method for solving fractional differential equations
title_short	A Chebyshev pseudo spectral method for solving fractional differential equations
title_full	A Chebyshev pseudo spectral method for solving fractional differential equations
title_fullStr	A Chebyshev pseudo spectral method for solving fractional differential equations
title_full_unstemmed	A Chebyshev pseudo spectral method for solving fractional differential equations
title_sort	chebyshev pseudo spectral method for solving fractional differential equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300711
work_keys_str_mv	AT yazdaniallahbakhsh achebyshevpseudospectralmethodforsolvingfractionaldifferentialequations AT kiasarimortezamohammadnezhad achebyshevpseudospectralmethodforsolvingfractionaldifferentialequations AT yazdaniallahbakhsh chebyshevpseudospectralmethodforsolvingfractionaldifferentialequations AT kiasarimortezamohammadnezhad chebyshevpseudospectralmethodforsolvingfractionaldifferentialequations
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A Chebyshev pseudo spectral method for solving fractional differential equations

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