In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …

In the present work, a numerical technique for solving a general form of nonlinear fractional
order integro-differential equations (GNFIDEs) with linear functional arguments using …

A shifted Legendre collocation method in two consecutive steps is developed and analyzed
to numerically solve one-and two-dimensional time fractional Schrödinger equations …

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 …

This article adapts an operational matrix formulation of the collocation method for the one-
and two-dimensional nonlinear fractional sub-diffusion equations (FSDEs). In the proposed …

The main result obtained in this study is the following operational Tau method based on
Müntz-Legendre polynomials. This method provides a computational technique for obtaining …

This paper presents a comparative study of three numerical schemes such as Linear,
Quadratic and Quadratic–Linear scheme for the fractional integro-differential equations …

In the present paper, we construct the numerical solution for time fractional (1+ 1)-and (1+ 2)-
dimensional Schrödinger equations (TFSEs) subject to initial boundary. The solution is …

In literature, it is usually very difficult to investigate the analytical and numerical solutions of
fractional integro-differential equations (FIDEs). In the current work, the solutions to linear …

This article, presented a shifted Legendre Gauss‐Lobatto collocation (SL‐GL‐C) method
which is introduced for solving variable‐order fractional Volterra integro‐differential equation …