A Chebyshev pseudo spectral method for solving fractional differential equations

DOI10.22199/ISSN.0717-6279-2020-03-0044zbMath1452.65377OpenAlexW3033595068MaRDI QIDQ5145913

Allahbakhsh Yazdani, Morteza Mohammadnezhad Kiasari

Publication date: 22 January 2021

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-03-0044

zbMATH Keywords

fractional differential equationsCaputo derivativeChebyshev pseudo-spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical differentiation (65D25) Fractional ordinary differential equations (34A08)

Uses Software

• OPQ

Cites Work

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• Recent history of fractional calculus
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Generation of Pseudospectral Differentiation Matrices I
• Spectral Differencing with a Twist

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