Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain

Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

(2015) Mohsen Zayernouri et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

(2015) A.H. Bhrawy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations

(2015) A.H. Bhrawy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A review of operational matrices and spectral techniques for fractional calculus

(2015) Ali H. Bhrawy et al.   NONLINEAR DYNAMICS

Fourier spectral methods for fractional-in-space reaction-diffusion equations

(2014) Alfonso Bueno-Orovio et al.   BIT NUMERICAL MATHEMATICS

A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

(2013) D. Baleanu et al.   Abstract and Applied Analysis

Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

(2013) D. Baleanu et al.   Abstract and Applied Analysis

On shifted Jacobi spectral approximations for solving fractional differential equations

(2013) E.H. Doha et al.   APPLIED MATHEMATICS AND COMPUTATION

Exponentially accurate spectral and spectral element methods for fractional ODEs

(2013) Mohsen Zayernouri et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

(2012) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Unbounded solutions to a boundary value problem of fractional order on the half-line

(2011) Xinwei Su et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A fast characteristic finite difference method for fractional advection–diffusion equations

(2010) Kaixin Wang et al.   ADVANCES IN WATER RESOURCES

Adomian’s decomposition method for solving an intermediate fractional advection–dispersion equation

(2009) A.M.A. El-Sayed et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions

(2009) T. A. M. Langlands et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Fractional order differential equations on an unbounded domain

(2009) A. Arara et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

(2009) Xianjuan Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel

(2008) Ben-yu Guo et al.   MATHEMATICS OF COMPUTATION

Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

(2008) Weihua Deng   SIAM JOURNAL ON NUMERICAL ANALYSIS