In this review paper, we are mainly concerned with the finite difference methods, the
Galerkin finite element methods, and the spectral methods for fractional partial differential …

In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

Existing numerical methods for fractional PDEs suffer from low accuracy and inefficiency in
dealing with three-dimensional problems or with long-time integrations. We develop a …

In this paper, symmetric space-fractional partial differential equations (SSFPDE) with the
Riesz fractional operator are considered. The SSFPDE is obtained from the standard …

The aim of this paper is to develop high-order methods for solving time-fractional partial
differential equations. The proposed high-order method is based on high-order finite …

In this article, we present two numerical methods for treating the fractional initial‐value
problem (FIVP) and time‐fractional partial differential problem (FPDP) that caused the error …

" LLC book introduces the theory and numerical methods in many areas of engineering and
scientific research relating to fractional partial differential equations analysis results. most of …

Nowadays, fractional calculus are used to model various different phenomena in nature, but
due to the non-local property of the fractional derivative, it still remains a lot of improvements …

Fractional calculus has been used to model physical and engineering processes that are
best described by fractional differential equations. Therefore designing efficient and reliable …

We develop an exponentially accurate fractional spectral collocation method for solving
steady-state and time-dependent fractional PDEs (FPDEs). We first introduce a new family of …