Mathematical modelling
A novel numerical approach for distributed order time fractional COVID-19 virus model

Mohsen Khasteh; Amir Hossein Refahi Sheikhani; Farhad Shariffar

Volume 9, Issue 4 , October 2022, , Pages 442-453

https://doi.org/10.22105/jarie.2022.305182.1381

Abstract
  In this paper, we proposed a numerical approach to solve a distributed order time fractional COVID 19 virus model. The fractional derivatives are shown in the Caputo-Prabhakar contains generalized Mittag-Leffler Kernel. The coronavirus 19 disease model has 8 Inger diets leading to system of 8 nonlinear ...  Read More

Computational modelling
Numerical approximation for the fractional advection-diffusion equation using a high order difference scheme

Zahra Mahboob Dana; Hashem Saberi Najafi; Amir Hossein Refahi Sheikhani

Volume 8, Issue 1 , March 2021, , Pages 90-103

https://doi.org/10.22105/jarie.2021.240340.1183

Abstract
  In this paper, a one-dimensional fractional advection-diffusion equation is considered. First, we propose a numerical approximation of the Riemann-Liouville fractional derivative which is fourth-order accurate, then a numerical method for the fractional advection-diffusion equation using a high order ...  Read More

Systems and service modeling and simulation
Robust control for variable order time fractional butterfly- shaped chaotic attractor system

Anis Shabani; Amir Hossein Refahi Sheikhani; Hossein Aminikhah

Volume 7, Issue 4 , December 2020, , Pages 435-449

https://doi.org/10.22105/jarie.2020.253993.1203

Abstract
  In this article, we investigated the robust control approach for variable-order fractional time fractional butterfly- shaped chaotic attractor system that the fractional derivative is considered in Atangana-Baleanu-Caputo sense. We show the computational algorithm with high accuracy for solving the proposed ...  Read More