An efficient numerical technique is proposed to solve one-and two-dimensional space
fractional tempered fractional diffusion-wave equations. The space fractional is based on the …

The main aim of the current paper is to propose an efficient numerical technique for solving
two-dimensional space-multi-time fractional Bloch–Torrey equations. The current research …

This paper introduces a high-order numerical procedure to solve the two-dimensional
distributed-order Riesz space-fractional diffusion equation. In the proposed technique, first, a …

In the current investigation, an error estimate has been proposed to solve the two-
dimensional weakly singular integro-partial differential equation with space and time …

Spectral and spectral element methods using Galerkin type formulations are efficient for
solving linear fractional PDEs (FPDEs) of constant order but are not efficient in solving …

In the Galerkin weak form technique based on various kernels that they do not have δ-
Kronecker property, in order to apply the essential boundary condition, there are two straight …

In the current manuscript, we consider a generalized fractional reaction–diffusion equation.
The considered model is based on the time fractional derivative. The developed scheme is …

This study proposes a scale-dependent finite difference method (S-FDM) to approximate the
time fractional differential equations (FDEs), using Hausdroff metric to conveniently link the …

Non-integer derivatives are frequently used to describe the constitutive behavior of
viscoelastic materials. The dynamic analysis of a simply supported viscoelastic beam for a …

Recently, finding a stable and convergent numerical procedure to simulate the fractional
partial differential equations (PDEs) is one of the interesting topics. Meanwhile, the fractional …