The epidemiological aspects of the viral dynamic of the SARS-CoV-2 have become
increasingly crucial due to major questions and uncertainties around the unaddressed …

This paper aims to provide a rigorous analysis of exponential convergence of an adaptive
spectral collocation method for a general nonlinear system of rational-order fractional initial …

Recently there has been a growing interest in designing efficient numerical methods for the
solution of fractional differential equations. The solutions of such equations in general …

In this work, a technique for finding approximate solutions for ordinary fraction differential
equations (OFDEs) of any order has been proposed. The method is a hybrid between …

In this paper, we develop an efficient finite difference/spectral method to solve a coupled
system of nonlinear multi-term time-space fractional diffusion equations. In general, the …

In this paper, the multi-term temporal fractional order and temporal distributed-order
parabolic equations with fractional Laplacian are numerically investigated. Several …

A linearized spectral Galerkin/finite difference approach is developed for variable fractional-
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …

This paper adopts an efficient meshless approach for approximating the nonlinear fractional
fourth-order diffusion model described in the Riemann–Liouville sense. A second-order …

This paper develops and analyses a finite difference/spectral-Galerkin scheme for the
nonlinear fractional Schrödinger equations with Riesz space-and Caputo time-fractional …

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 …