A NEW FRACTAL FRACTIONAL MODELING OF THE COMPUTER VIRUSES SYSTEM-Reference-Cited by-同舟云学术

A NEW FRACTAL FRACTIONAL MODELING OF THE COMPUTER VIRUSES SYSTEM

Published:2022-07-04 Issue:05 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

PARTOHAGHIGHI MOHAMMAD¹,YUSUF ABDULLAHI²³,KARACA YELIZ⁴,LI YONG-MIN⁵⁶,IBRAHIM TAREK F.⁷⁸,YOUNIS B. A.⁹,SALEH BAHAA¹⁰,ALY AYMAN A.¹⁰

Affiliation:

1. Department of Mathematics, Clarkson University, Potsdam, NY 13699, USA

2. Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey

3. Department of Mathematics, Near East University TRNC, Mersin 10, 99138, Nicosia, Turkey

4. University of Massachusetts Medical School, Worcester, MA 01655, USA

5. Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

6. Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China

7. Department of Mathematics, Faculty of Sciences and Arts (Mahayel), King Khalid University, Abha, Saudi Arabia

8. Department of Mathematics, Faculty of Science, Mansoura University, Egypt

9. Department of Mathematics, Faculty of Sciences and Arts in Zahran Alganoob, King Khalid University, Abha, Saudi Arabia

10. Department of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

Abstract

In this study, we model the fractal-fractional system of the Computer virus problem using the Atangana–Baleanu operator. Moreover, we have presented the existence and the uniqueness of the results under applying the Schauder fixed point and Banach fixed theorems. We have used the Atangana–Toufik technique to obtain the approximate solutions by choosing various values of orders. Different values of fractal-fractional orders along with different amounts of initial conditions are selected to examine the performance of the suggested numerical method on the new fractal-fractional system. Also, graphs in different dimensions are presented to exhibit the solutions, clearly.

Funder

Taif University Researchers Supporting Project

Deanship of scientific Research in King Khaild university

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22401843

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