A class of tempered fractional differential equations with terminal value problems are
investigated in this paper. Discretized collocation methods on piecewise polynomials …

In this article, developed the compact implicit difference method based Grünwald Letnikov
formula (GLF) to compute the solution of the time-fractional diffusion-wave equation …

The main objective in this paper is to propose an efficient numerical formulation for solving
the time-fractional distributed-order advection–diffusion equation. First, the distributed-order …

Distributed order fractional differential equations are efficient in describing physical
phenomena because of the differential order distribution. In this paper, the distributed order …

Fractional-order derivatives have been widely used to describe the spiking patterns of
neurons, without considering their self-similar dendritic structures. In this study, a self-similar …

This research focuses on devising a new fast difference scheme to simulate the Caputo
tempered fractional derivative (TFD). We introduce a fast tempered λ F£ 2− 1 σ difference …

In the present article, we study a new version of the physical model, namely the Klein-
Gordon equation involved with tempered fractional derivative. This model is numerically …

In this work, a fast second-order finite volume element (FVE) algorithm is proposed to solve
the nonlinear time-fractional coupled diffusion model based on the time two-mesh (TT-M) …

In this paper, a two-grid mixed finite volume element (MFVE) algorithm is presented for the
nonlinear time fractional reaction-diffusion equations, where the Caputo fractional derivative …

Anomalous and non-ergodic diffusion is ubiquitous in the natural world. Fractional Feynman-
Kac equations are used to characterize the functional distribution of the trajectories of the …