A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation

Asymptotic behavior of solutions to space‐time fractional diffusion‐reaction equations

“…In the context of the flow in porous media, the fractional Laplacian that is derived from Lévy process models large motions through highly conductive layers or fractures, for example, [4,5] and the references therein. Although we do not discuss numerical aspects, the references are increasing, and we refer to only [6][7][8][9][10][11][12] and the references therein. Here, we do not intend to make any comprehensive list of numerical papers.…”

Analytical Solution of Generalized Space-Time Fractional Cable Equation

“…Fractional diffusion equations in presence of external force were also of interest in many recent papers [12][13][14][15]. Analytical solutions of fractional differential equations and numerical methods of fractional cable equation have been considered by many authors [16][17][18][19][20][21][22][23][24], to name but a few. In our work, we further generalize Equation (2) by introducing time fractional derivative of Caputo form of order 0 1    , defined by [8,9] …”

Analytical and numerical solutions of a two‐dimensional multi‐term time‐fractional Oldroyd‐B model

“…Feng et al [19] studied the stability of a two-sided space-fractional diffusion equation. Liu et al have proposed some numerical methods for related fractional partial differential equations [20][21][22][23][24][25][26][27].…”