Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation

An inverse problem to estimate an unknown order of a Riemann–Liouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid

(2015) Bo Yu et al.   ACTA MECHANICA SINICA

Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation

(2014) Haixiang Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

(2014) A. H. Bhrawy et al.   NONLINEAR DYNAMICS

A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation

(2014) Bo Yu et al.   NUMERICAL ALGORITHMS

Local Discontinuous Galerkin methods for fractional diffusion equations

(2013) W.H. Deng et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation

(2013) Ya-nan Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Fractional Anomalous Diffusion Model and Numerical Simulation for Sodium Ion Transport in the Intestinal Wall

(2013) Bo Yu et al.   Advances in Mathematical Physics

FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION

(2012) HONGGUANG SUN et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

An inverse problem to estimate relaxation parameter and order of fractionality in fractional single-phase-lag heat equation

(2012) Hamid R. Ghazizadeh et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative

(2012) Xiaoyun Jiang et al.   Journal of Physics A-Mathematical and Theoretical

Implicit compact difference schemes for the fractional cable equation

(2011) Xiuling Hu et al.   APPLIED MATHEMATICAL MODELLING

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

(2011) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Inverse source problem for a fractional diffusion equation

(2011) Ying Zhang et al.   INVERSE PROBLEMS

Numerical analysis for a variable-order nonlinear cable equation

(2011) Chang-Ming Chen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fractional Cable Equation Models for Anomalous Electrodiffusion in Nerve Cells: Finite Domain Solutions

(2011) T. A. M. Langlands et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Finite difference/spectral approximations for the fractional cable equation

(2010) Yumin Lin et al.   MATHEMATICS OF COMPUTATION

Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

(2009) Jin Cheng et al.   INVERSE PROBLEMS

Compact finite difference method for the fractional diffusion equation

(2009) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

Time fractional IHCP with Caputo fractional derivatives

(2008) Diego A. Murio   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The fractional diffusion model with an absorption term and modified Fick’s law for non-local transport processes

(2008) Xiaoyun Jiang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Fractional Cable Models for Spiny Neuronal Dendrites

(2008) B. I. Henry et al.   PHYSICAL REVIEW LETTERS

Finite difference methods and a fourier analysis for the fractional reaction–subdiffusion equation

(2007) Chang-ming Chen et al.   APPLIED MATHEMATICS AND COMPUTATION