Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation

DOI10.1016/j.cnsns.2009.05.024zbMath1221.45008OpenAlexW2069983308MaRDI QIDQ718133

Dumitru Baleanu, Abdelouahab Kadem

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.024

zbMATH Keywords

fractional calculusWalsh functionfractional transport equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Nuclear reactor theory; neutron transport (82D75)

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Cites Work

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• On systems of linear fractional differential equations with constant coefficients
• An efficient algorithm for partial fraction expansion of the linear matrix pencil inverse
• A Walsh series direct method for solving variational problems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A numerical method for multigroup slab-geometry discrete ordinates problems with no spatial truncation error
• On the Walsh Functions

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