Fractional differential equations (FDES), ie, differential equations involving fractional-order
derivatives, have received much recent attention in engineering, physics, biology and …

Variable-order space-time fractional diffusion equations, in which the variation of the
fractional orders determined by the fractal dimension of the media via the Hurst index …

A time-stepping L1 scheme for subdiffusion equation with a Riemann--Liouville time
fractional derivative is developed and analyzed. This is the first paper to show that the L1 …

The purpose of this contribution is to present or implement generalized finite difference
method (GFDM) for the first time in order to solve the reaction convection Diffusion equation …

We investigate the behavior of the time derivatives of the solution to a linear time-fractional,
advection–diffusion–reaction equation, allowing space-and time-dependent coefficients as …

A time-fractional Fokker-Planck initial-boundary value problem is considered, with
differential operator $ u_t-\nabla\cdot (\partial_t^{1-\alpha}\kappa_\alpha\nabla u-\textbf …

In this work, we present and analyse a system of coupled partial differential equations, which
models tumour growth under the influence of subdiffusion, mechanical effects, nutrient …

A focused summary of one-and two-dimensional models for linear and nonlinear wave
propagation in fractional media is given. The basic models, which represent fractional …

Anomalous diffusion is often modelled in terms of the subdiffusion equation, which can
involve a weakly singular source term. For this case, many predominant time-stepping …

Abstract Time fractional Fokker–Planck equations can be used to describe the subdiffusion
in an external time-and space-dependent force field F (t, x). In this paper, we convert it to the …