Baleanu, DumitruKadem, Abdelouhab2016-06-082025-09-182016-06-082025-09-182010Kadem, A., Baleanu, D. (2010). Fractional radiative transfer equation within Chebyshev spectral approach. Computers&Mathematics With Applications, 59(5), 1865-1873. http://dx.doi.org/10.1016/j.camwa.2009.08.0300898-12211873-7668https://doi.org/10.1016/j.camwa.2009.08.030https://hdl.handle.net/20.500.12416/10803In this work we report the convergence of the Chebyshev polynomials combined with the S-N method for the steady state transport equation using the fractional derivative. The procedure is based on the expansion of the angular flux in a truncated series of orthogonal polynomials that results in the transformation of the multidimensional problem into a system of fractional differential equations. The convergence of this approach is studied in the context of the multidimensional discrete-ordinates equations. (C) 2009 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessFractional CalculusFractional Radiative Transfer EquationChebyshev PolynomialsCaputo DerivativeArticle10.1016/j.camwa.2009.08.0302-s2.0-76649139784