In this study, the extended tanh-function method has been used to find further general
travelling wave solutions for space-time fractional nonlinear partial differential equations …

We consider a space-fractional wave equation with a singular mass term depending on the
position and prove that it is very weak well-posed. The uniqueness is proved in some …

In this article, we present an efficient structure-preserving difference scheme for two-
dimensional nonlinear space fractional wave models. We use the Crank-Nicolson scheme to …

In this article, we propose a second‐order shifted composite numerical integral formula,
which is denoted as the SCNIF2. We transform the nonlinear time fractional wave equation …

We consider the initial boundary value problem of the time fractional nonlinear Sine–Gordon
equation and the fractional derivative is described in Caputo sense with the order α (1< α< …

In this paper, we consider a second-order scalar auxiliary variable Fourier spectral method
to solve the nonlinear fractional generalized wave equation. Unconditional energy …

This paper is concerned with two fast and efficient numerical methods to solve the
multidimensional nonlinear fractional wave equation in unbounded domain. For the spatial …

In this article, we design a fast fourth-order compact difference schemes for the two-
dimensional space fractional Gray-Scott model. We apply the BDF2-θ in the time direction …

In this paper, we consider implicit and linearized dissipation-preserving Galerkin–Legendre
spectral methods to solve space fractional nonlinear damped wave equation in two …

In this paper, we consider the variable-order time fractional mobile/immobile diffusion (TF-
MID) equation in two-dimensional spatial domain, where the fractional order α (t) satisfies 0< …