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 …

This book provides efficient and reliable numerical methods for solving fractional calculus
problems. It focuses on numerical techniques for fractional integrals, derivatives, and …

Fractional calculus, which has two main features—singularity and nonlocality from its origin—
means integration and differentiation of any positive real order or even complex order. It has …

Fractional calculus, albeit a synonym of fractional integrals and derivatives which have two
main characteristics—singularity and nonlocality—has attracted increasing interest due to its …

The computational work and storage of numerically solving the time fractional PDEs are
generally huge for the traditional direct methods since they require total memory and work …

Purpose The purpose of this study is to introduce the reproducing kernel algorithm for
treating classes of time-fractional partial differential equations subject to Robin boundary …

In this article, finite difference methods with non-uniform meshes for solving nonlinear
fractional differential equations are presented, where the non-equidistant stepsize is non …

The paper presents a numerical technique based on neural networks for generalized
Caputo-type fractional differential equations with and without delay. We employ the theory of …

In this article, three kinds of typical Caputo-type partial differential equations are numerically
studied via the finite difference methods/the local discontinuous Galerkin finite element …

In this article, based on the idea of combing symmetrical fractional centred difference
operator with compact technique, a series of even‐order numerical differential formulas …